{"id":309,"date":"2023-07-06T14:08:28","date_gmt":"2023-07-06T14:08:28","guid":{"rendered":"https:\/\/mathority.org\/ko\/%eb%a7%a4%ea%b0%9c%eb%b3%80%ec%88%98%ea%b0%80-%ec%9e%88%eb%8a%94-%eb%b0%a9%ec%a0%95%ec%8b%9d-%ec%8b%9c%ec%8a%a4%ed%85%9c%ec%97%90-%eb%8c%80%ed%95%9c-%ed%86%a0%eb%a1%a0\/"},"modified":"2023-07-06T14:08:28","modified_gmt":"2023-07-06T14:08:28","slug":"%eb%a7%a4%ea%b0%9c%eb%b3%80%ec%88%98%ea%b0%80-%ec%9e%88%eb%8a%94-%eb%b0%a9%ec%a0%95%ec%8b%9d-%ec%8b%9c%ec%8a%a4%ed%85%9c%ec%97%90-%eb%8c%80%ed%95%9c-%ed%86%a0%eb%a1%a0","status":"publish","type":"post","link":"https:\/\/mathority.org\/ko\/%eb%a7%a4%ea%b0%9c%eb%b3%80%ec%88%98%ea%b0%80-%ec%9e%88%eb%8a%94-%eb%b0%a9%ec%a0%95%ec%8b%9d-%ec%8b%9c%ec%8a%a4%ed%85%9c%ec%97%90-%eb%8c%80%ed%95%9c-%ed%86%a0%eb%a1%a0\/","title":{"rendered":"\ub9e4\uac1c\ubcc0\uc218\ub97c \uc0ac\uc6a9\ud55c \ubc29\uc815\uc2dd \uc2dc\uc2a4\ud15c\uc5d0 \ub300\ud55c \ud1a0\ub860"},"content":{"rendered":"<p>\uc774 \ud398\uc774\uc9c0\uc5d0\uc11c\ub294 <strong>\ub9e4\uac1c\ubcc0\uc218\ub97c \uc0ac\uc6a9\ud558\uc5ec \ubc29\uc815\uc2dd \uc2dc\uc2a4\ud15c\uc744<\/strong> \ub17c\uc758\ud558\uace0 \ud574\uacb0\ud558\ub294 \ubc29\ubc95\uc744 \uc0b4\ud3b4\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \ub610\ud55c \uc5f0\uc2b5\ud560 \uc218 \uc788\ub294 \uc120\ud615 \ubc29\uc815\uc2dd \uc2dc\uc2a4\ud15c\uc758 \uc608\uc81c\uc640 \ud574\uacb0\ub41c \uc5f0\uc2b5\uc744 \ucc3e\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<p> \ubc18\uba74, \uc120\ud615 \ubc29\uc815\uc2dd \uc2dc\uc2a4\ud15c\uc744 \ubd84\uc11d\ud558\ub824\uba74 <a href=\"https:\/\/mathority.org\/ko\/\u110f\u1173\u1105\u1162\u1106\u1165\u110b\u1174-\u1100\u1172\u110e\u1175\u11a8-\u110b\u1168\u110c\u1166\u110b\u116a-\u1112\u1162\u1100\u1167\u11af\u1103\u116c\u11ab-\u110b\u1167\u11ab\u1109\u1173\u11b8\/\">Cramer\uc758 \ubc95\uce59\uc774 \ubb34\uc5c7\uc778\uc9c0<\/a> , <a href=\"https:\/\/mathority.org\/ko\/\u110b\u1168\u110c\u1166\u110b\u116a-\u1112\u1162\u1100\u1167\u11af\u1103\u116c\u11ab-\u110b\u1167\u11ab\u1109\u1173\u11b8-\u1106\u116e\u11ab\u110c\u1166\u1100\u1161-\u1111\u1169\u1112\u1161\u11b7\u1103\u116c\u11ab-\u1103\u1173-\u1105\u116e\u1109\u1172-\u1111\u1173\u1105\u1169\u1107\u1166\u1102\u1175\u110b\u116e\u1109\u1173\u110b\u1174-\u110c\u1165\u11bc\u1105\u1175\/\">Rouch\u00e9-Frobenius \uc815\ub9ac\uac00 \ubb34\uc5c7\uc778\uc9c0<\/a> \uc544\ub294 \uac83\uc774 \uc911\uc694\ud569\ub2c8\ub2e4. \uc65c\ub0d0\ud558\uba74 \uc6b0\ub9ac\ub294 \uc774\ub97c \uc9c0\uc18d\uc801\uc73c\ub85c \uc0ac\uc6a9\ud560 \uac83\uc774\uae30 \ub54c\ubb38\uc785\ub2c8\ub2e4.<\/p>\n<h2 class=\"wp-block-heading\"> \ub9e4\uac1c\ubcc0\uc218\uac00 \uc788\ub294 \uc120\ud615 \ubc29\uc815\uc2dd \uc2dc\uc2a4\ud15c\uc758 \uc608<\/h2>\n<ul>\n<li> \ub9e4\uac1c\ubcc0\uc218 <em>m<\/em> \uc744 \uae30\uc900\uc73c\ub85c \ub2e4\uc74c \ubc29\uc815\uc2dd \uc2dc\uc2a4\ud15c\uc744 \ud1a0\ub860\ud558\uace0 \ud480\uc5b4\ubcf4\uc138\uc694.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6ab2286d15c20029b98a5ea4622033d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} x+y+2z= 2 \\\\[1.5ex] -x+my+2z=0 \\\\[1.5ex] 3x+mz = 4\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"155\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \uba3c\uc800 \uc2dc\uc2a4\ud15c\uc758 \ud589\ub82c A\uc640 \ud655\uc7a5 \ud589\ub82c A&#8217;\ub97c \ub9cc\ub4ed\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bef8e6b26595703c77c65178cbf90ffc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc}1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; m \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 1 &amp; 1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; m &amp; 4 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"404\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \uc774\uc81c Sarrus\uc758 \uaddc\uce59\uc744 \uc0ac\uc6a9\ud558\uc5ec A\uc758 \ud589\ub82c\uc2dd\uc744 \ud480\uc5b4 \ud589\ub82c\uc758 \uc21c\uc704\ub97c \ud655\uc778\ud569\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e823f83f25f798bd854612a7352680d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\begin{aligned}  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; m \\end{vmatrix} &amp; =m^2+6+0-6m-0+m \\\\ &amp; = m^2-5m+6 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"110\" width=\"366\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c A \ud589\ub82c\uc2dd\uc758 \uacb0\uacfc\ub294 <em>m<\/em> \uac12\uc5d0 \ub530\ub77c \ub2ec\ub77c\uc9d1\ub2c8\ub2e4. \uadf8\ub7ec\ubbc0\ub85c \uc6b0\ub9ac\ub294 \ud589\ub82c\uc2dd\uc774 \uc0ac\ub77c\uc9c0\ub294 <em>m<\/em> \uc758 \uac12\uc744 \ubcfc \uac83\uc785\ub2c8\ub2e4. \uc774\ub97c \uc704\ud574 <strong>\uacb0\uacfc\ub97c 0\uc73c\ub85c \uc124\uc815\ud569\ub2c8\ub2e4<\/strong> .<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a2101d9a1d88f3e3d29bb4758d2fb8a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   m^2-5m+6 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"133\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \uadf8\ub9ac\uace0 \uc6b0\ub9ac\ub294 \ub2e4\uc74c \uacf5\uc2dd\uc744 \uc0ac\uc6a9\ud558\uc5ec \uc774\ucc28 \ubc29\uc815\uc2dd\uc744 \ud47c\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-51910dd69f9df6fdde6dd7597f889700_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  m = \\cfrac{-b \\pm \\sqrt{b^2-4ac}}{2a}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"170\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e863082ac1f9b43df4de9fe93f5eb305_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  m = \\cfrac{-(-5) \\pm \\sqrt{(-5)^2-4\\cdot 1 \\cdot 6}}{2 \\cdot 1} = \\cfrac{5 \\pm \\sqrt{25-24}}{2} =\\cfrac{5 \\pm 1}{2} = \\begin{cases} \\bm{m = 3} \\\\[2ex] \\bm{m =2} \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"537\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c <em>m\uc774<\/em> 2 \ub610\ub294 3\uacfc \uac19\uc744 \ub54c A\uc758 \ud589\ub82c\uc2dd\uc740 0\uc774 \ub429\ub2c8\ub2e4. \uadf8\ub9ac\uace0 <em>m\uc774<\/em> 2\uc640 \ub2e4\ub974\uace0 3\uacfc \ub2e4\ub97c \ub54c A\uc758 \ud589\ub82c\uc2dd\uc740 0\uacfc \ub2ec\ub77c\uc9d1\ub2c8\ub2e4.<\/p>\n<p> \ub530\ub77c\uc11c \uc6b0\ub9ac\ub294 \uac01 \uc0ac\ub840\ub97c \uac1c\ubcc4\uc801\uc73c\ub85c \ubd84\uc11d\ud574\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<p style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>m\u22603 \ubc0f m\u22602:<\/strong><\/span><\/p>\n<p> \ubc29\uae08 \ubcf8 \uac83\ucc98\ub7fc \ub9e4\uac1c\ubcc0\uc218 <em>m\uc774<\/em> 2\uc640 3\uacfc \ub2e4\ub97c \ub54c \ud589\ub82c A\uc758 \ud589\ub82c\uc2dd\uc740 0\uacfc \ub2e4\ub985\ub2c8\ub2e4. \ub530\ub77c\uc11c <strong>A\uc758 \uc21c\uc704\ub294 3\uc785\ub2c8\ub2e4<\/strong> .<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-842ae3b68df41813d9e409968f3ae946_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ub354\uc6b1\uc774, <strong>\ud589\ub82c A&#8217;\uc758 \uc21c\uc704\ub3c4 3\uc785\ub2c8\ub2e4<\/strong> . \uadf8 \ub0b4\ubd80\uc5d0\ub294 \ud589\ub82c\uc2dd\uc774 0\uacfc \ub2e4\ub978 3\u00d73 \ubd80\ubd84\ud589\ub82c\uc774 \uc788\uae30 \ub54c\ubb38\uc785\ub2c8\ub2e4. \uadf8\ub9ac\uace0 &#8216;4\u00d74 \ud589\ub82c\uc2dd\uc744 \ub9cc\ub4e4 \uc218 \uc5c6\uae30 \ub54c\ubb38\uc5d0 \uc21c\uc704 4\uac00 \ub420 \uc218 \uc5c6\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-150bbc9c8e363db471c2d5bc4f33e1fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \uadf8\ub7f0 \ub2e4\uc74c \ud589\ub82c A\uc758 \uc21c\uc704\ub294 \ud589\ub82c A&#8217;\uc758 \uc21c\uc704 \ubc0f \uc2dc\uc2a4\ud15c\uc758 \ubbf8\uc9c0\uc218 \uc218(3)\uc640 \ub3d9\uc77c\ud558\ubbc0\ub85c <strong>Rouch\u00e9-Frobenius \uc815\ub9ac<\/strong> \uc5d0 \uc758\ud574 SCD( <strong>\uacb0\uc815\ub41c \uc2dc\uc2a4\ud15c \ud638\ud658<\/strong> )\uc784\uc744 \uc54c \uc218 \uc788\uc2b5\ub2c8\ub2e4. :<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-557185e16670c72d23eec5a3ea13b487_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 3 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3    \\end{array}} \\\\ \\\\  \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = n = 3  \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCD}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"436\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \uc2dc\uc2a4\ud15c\uc774 \ud638\ud658 \uac00\ub2a5 \uc2dc\uc2a4\ud15c(DCS)\uc774\ub77c\ub294 \uac83\uc744 \uc54c\uac8c \ub418\uba74 \uc774\ub97c \ud574\uacb0\ud558\uae30 \uc704\ud574 <strong>Cramer\uc758 \uaddc\uce59\uc744<\/strong> \uc801\uc6a9\ud569\ub2c8\ub2e4. \uc774\ub97c \uc218\ud589\ud558\ub824\uba74 \ud589\ub82c A, \ud589\ub82c\uc2dd \ubc0f \ud589\ub82c A&#8217;\uac00 \ub2e4\uc74c\uacfc \uac19\ub2e4\ub294 \uc810\uc744 \uae30\uc5b5\ud558\uc2ed\uc2dc\uc624.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bef8e6b26595703c77c65178cbf90ffc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc}1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; m \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 1 &amp; 1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; m &amp; 4 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"404\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aac47361358555f733a42cffecabdbe9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; m \\end{vmatrix} = m^2-5m+6\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"268\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Cramer\uc758 \ubc95\uce59\uc73c\ub85c x\ub97c \uacc4\uc0b0\ud558\uae30 \uc704\ud574 \ud589\ub82c A\uc758 \ud589\ub82c\uc2dd\uc758 \uccab \ubc88\uc9f8 \uc5f4\uc744 \ub3c5\ub9bd\ud56d\uc758 \uc5f4\ub85c \ubcc0\uacbd\ud558\uace0 \uc774\ub97c A\uc758 \ud589\ub82c\uc2dd\uc73c\ub85c \ub098\ub215\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b17f49436fdadbb014011b5c461a4a56_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\bm{x} = \\cfrac{\\begin{vmatrix} 2 &amp; 1 &amp; 2\\\\[1.1ex]0&amp;m&amp;2 \\\\[1.1ex] 4 &amp; 0 &amp; m \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{2m^2+8-8m}{m^2-5m+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"257\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Cramer\uc758 \ubc95\uce59\uc73c\ub85c y\ub97c \uacc4\uc0b0\ud558\uae30 \uc704\ud574 A\uc758 \ud589\ub82c\uc2dd\uc758 \ub450 \ubc88\uc9f8 \uc5f4\uc744 \ub3c5\ub9bd\ud56d\uc758 \uc5f4\ub85c \ubcc0\uacbd\ud558\uace0 \uc774\ub97c A\uc758 \ud589\ub82c\uc2dd\uc73c\ub85c \ub098\ub215\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a2bf75bdabfb2c83870f1869ce19e3d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{y} = \\cfrac{\\begin{vmatrix}1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; 0 &amp; 2 \\\\[1.1ex] 3 &amp; 4 &amp; m \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}}=\\cfrac{-4+2m}{m^2-5m+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"255\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Cramer\uc758 \ubc95\uce59\uc73c\ub85c z\ub97c \uacc4\uc0b0\ud558\uae30 \uc704\ud574 A\uc758 \ud589\ub82c\uc2dd\uc758 \uc138 \ubc88\uc9f8 \uc5f4\uc744 \ub3c5\ub9bd\ud56d\uc758 \uc5f4\ub85c \ubcc0\uacbd\ud558\uace0 \uc774\ub97c A\uc758 \ud589\ub82c\uc2dd\uc73c\ub85c \ub098\ub215\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eebb3c4d280afc8a9aed8877ddcd4ac5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{z} = \\cfrac{\\begin{vmatrix}  1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; m &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; 4\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{-2m+4}{m^2-5m+6}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"254\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c m\u22603 \ubc0f m\u22602\uc758 \uacbd\uc6b0 \ubc29\uc815\uc2dd \uc2dc\uc2a4\ud15c\uc758 \ud574\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7cba73a14f41d3314575e075f1229e87_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x =} \\cfrac{\\bm{2m^2+8-8m}}{\\bm{m^2-5m+6}} \\qquad \\bm{y=} \\cfrac{\\bm{-4+2m}}{\\bm{m^2-5m+6}} \\qquad \\bm{z =} \\cfrac{\\bm{-2m+4}}{\\bm{m^2-5m+6}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"470\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p> \ubcf4\uc2dc\ub2e4\uc2dc\ud53c, \uc774 \uacbd\uc6b0 \uc5f0\ub9bd\ubc29\uc815\uc2dd\uc758 \ud574\ub294 m\uc758 \ud568\uc218\uc785\ub2c8\ub2e4.<\/p>\n<p> m\uc774 2\uc640 3\uacfc \ub2e4\ub97c \ub54c\uc758 \ud574\ub97c \uad6c\ud588\ub2e4\uba74, m\uc774 2\uc77c \ub54c\uc758 \ud574\ub97c \uad6c\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<p style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>m=2:<\/strong><\/span><\/p>\n<p> \uc774\uc81c \ub9e4\uac1c\ubcc0\uc218 <em>m<\/em> \uc774 2\uc77c \ub54c \uc2dc\uc2a4\ud15c\uc744 \ubd84\uc11d\ud558\uaca0\uc2b5\ub2c8\ub2e4. \uc774 \uacbd\uc6b0 \ud589\ub82c A\uc640 A&#8217;\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f42ec4801f3e84cd44b4e0b2ae6351cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc}1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; 2 &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; 2 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 1 &amp; 1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; 2 &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; 2 &amp; 4 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"377\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \uc774\uc804\uc5d0 \ubcf4\uc558\ub4ef\uc774 m=2\uc77c \ub54c A\uc758 \ud589\ub82c\uc2dd\uc740 0\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \ud589\ub82c A\ub294 \ub7ad\ud06c 3\uc774 \uc544\ub2d9\ub2c8\ub2e4. \uadf8\ub7ec\ub098 \uadf8 \ub0b4\ubd80\uc5d0\ub294 0\uacfc \ub2e4\ub978 2\u00d72\uac1c\uc758 \ud589\ub82c\uc2dd\uc774 \uc788\uc2b5\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uba74 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-55ef6cd148fca7a869e14760007e1f2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}1 &amp; 1 \\\\[1.1ex] -1 &amp; 2  \\end{vmatrix} = 2 - (-1)=3 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c \uc774 \uacbd\uc6b0 <strong>A\uc758 \uc21c\uc704\ub294 2\uc785\ub2c8\ub2e4<\/strong> .<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eded270b78ab3d95ce827e3ea428efb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ud589\ub82c A\uc758 \uc21c\uc704\ub97c \uc54c\uace0 \ub098\uba74 A&#8217;\uc758 \uc21c\uc704\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4. \ucc98\uc74c 3\uac1c \uc5f4\uc758 \ud589\ub82c\uc2dd\uc740 0\uc744 \uc81c\uacf5\ud558\ubbc0\ub85c \ud589\ub82c A&#8217;\uc5d0\uc11c \ub2e4\ub978 \uac00\ub2a5\ud55c 3\u00d73 \ud589\ub82c\uc2dd\uc744 \uc2dc\ub3c4\ud574 \ubd05\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2c68c742cae37c52ad2566b7feec5301_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 1 &amp; 2 &amp; 2 \\\\[1.1ex] 2 &amp; 2 &amp; 0 \\\\[1.1ex] 0 &amp; 2 &amp; 4 \\end{vmatrix} = 0 \\qquad \\begin{vmatrix} 1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 2 &amp; 4 \\end{vmatrix}=0\\qquad \\begin{vmatrix} 1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; 4\\end{vmatrix}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"412\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> 3\u00d73 \ucc28\uc6d0\uc758 \uac00\ub2a5\ud55c \ubaa8\ub4e0 \ud589\ub82c\uc2dd\uc740 0\uc785\ub2c8\ub2e4. \uadf8\ub7ec\ub098 \ubd84\uba85\ud788 \ud589\ub82c A&#8217;\ub294 \ud589\ub82c A\uc640 \ub3d9\uc77c\ud55c 2\u00d72 \ube44-0 \ud589\ub82c\uc2dd\uc744 \uac16\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-55ef6cd148fca7a869e14760007e1f2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}1 &amp; 1 \\\\[1.1ex] -1 &amp; 2  \\end{vmatrix} = 2 - (-1)=3 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c <strong>\ud589\ub82c A&#8217;\ub3c4 \ub7ad\ud06c 2\uc785\ub2c8\ub2e4<\/strong> .<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-80398cfd2fff647f81c0d4160f3b2f7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"81\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c \ud589\ub82c A\uc758 \uc21c\uc704\ub294 \ud589\ub82c A&#8217;\uc758 \uc21c\uc704\uc640 \ub3d9\uc77c\ud558\uc9c0\ub9cc \uc774 \ub458\uc740 \uc2dc\uc2a4\ud15c(3)\uc758 \ubbf8\uc9c0\uc218 \uc218\ubcf4\ub2e4 \uc791\uae30 \ub54c\ubb38\uc5d0 <strong>Rouch\u00e9-Frobenius \uc815\ub9ac<\/strong> \uc5d0 \uc758\ud574 \uc774\uac83\uc774 <strong>\ubd88\ud655\uc815\uc801\uc73c\ub85c \ud638\ud658 \uac00\ub2a5\ud55c \uc2dc\uc2a4\ud15c<\/strong> \uc774\ub77c\ub294 \uac83\uc744 \uc54c \uc218 \uc788\uc2b5\ub2c8\ub2e4. (ICS):<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-96868a2569ea0ab5ca99d8dc606d3dc9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=2 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3    \\end{array}} \\\\ \\\\  \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = 2 \\ < \\ n =3  \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"475\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> ICS\uc774\uae30 \ub54c\ubb38\uc5d0 \uc774\ub97c \ud574\uacb0\ud558\ub824\uba74 \uc2dc\uc2a4\ud15c \uc804\ud658\uc774 \ud544\uc694\ud569\ub2c8\ub2e4. \uc774\ub807\uac8c \ud558\ub824\uba74 \uba3c\uc800 \uc2dc\uc2a4\ud15c\uc5d0\uc11c \ubc29\uc815\uc2dd\uc744 \uc81c\uac70\ud574\uc57c \ud569\ub2c8\ub2e4. \uc774 \uacbd\uc6b0 <strong>\ub9c8\uc9c0\ub9c9 \ubc29\uc815\uc2dd\uc744 \uc0ad\uc81c\ud569\ub2c8\ub2e4.<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-10c7facda35cb8894e6bbb236e4953f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} x+y+2z= 2 \\\\[1.5ex] -x+2y+2z=0 \\\\[1.5ex] \\cancel{3x+2z = 4} \\end{cases} \\longrightarrow \\quad \\begin{cases}  x+y+2z= 2 \\\\[1.5ex] -x+2y+2z=0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"377\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> <strong>\uc774\uc81c \ubcc0\uc218 z\ub97c \u03bb\ub85c \ubcc0\ud658\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0155083595420da31a486927e953805c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}x+y+2z= 2 \\\\[1.5ex] -x+2y+2z=0  \\end{cases} \\xrightarrow{z \\ = \\ \\lambda}\\quad \\begin{cases} x+y+2\\lambda= 2 \\\\[1.5ex] -x+2y+2\\lambda=0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"398\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \uadf8\ub9ac\uace0 \uc6b0\ub9ac\ub294 <strong>\ub3c5\ub9bd\ub41c \ud56d\uc744 \u03bb\ub85c \uac16\ub294 \ud56d\uc744 \ub123\uc2b5\ub2c8\ub2e4.<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b8486baee4be39f417988ee12b5e67c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}x+y=2-2\\lambda \\\\[1.5ex] -x+2y=-2\\lambda \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"133\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c \uc2dc\uc2a4\ud15c\uc758 \ud589\ub82c A\uc640 \ud589\ub82c A&#8217;\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \uc720\uc9c0\ub429\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8591e8c21bce2f49998311bbb08f7dee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 1 &amp; 1  \\\\[1.1ex] -1 &amp; 2 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{cc|c} 1 &amp; 1 &amp; 2 -2\\lambda \\\\[1.1ex] -1 &amp; 2 &amp; -2\\lambda \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"363\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \ub9c8\uc9c0\ub9c9\uc73c\ub85c \uc2dc\uc2a4\ud15c\uc744 \ubcc0\ud615\ud55c \ud6c4\uc5d0 <strong>\ub294 Cramer\uc758 \ubc95\uce59\uc744 \uc801\uc6a9\ud569\ub2c8\ub2e4<\/strong> . \uc774\ub97c \uc704\ud574 \uba3c\uc800 A\uc758 \ud589\ub82c\uc2dd\uc744 \ud574\uacb0\ud569\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c34669d7234c9736c350f793df337bd3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 1 &amp; 1  \\\\[1.1ex] -1 &amp; 2\\end{vmatrix} =2-(-1)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"229\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Cramer\uc758 \ubc95\uce59\uc73c\ub85c <em>x\ub97c<\/em> \uacc4\uc0b0\ud558\uae30 \uc704\ud574 A\uc758 \ud589\ub82c\uc2dd\uc758 \uccab \ubc88\uc9f8 \uc5f4\uc744 \ub3c5\ub9bd\ud56d\uc758 \uc5f4\ub85c \ubcc0\uacbd\ud558\uace0 \uc774\ub97c A\uc758 \ud589\ub82c\uc2dd\uc73c\ub85c \ub098\ub215\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-987ebe052154332042afeb27535996f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 2 -2\\lambda &amp; 1  \\\\[1.1ex] -2\\lambda &amp; 2 \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{4-4\\lambda-(-2\\lambda)}{3} = \\cfrac{\\bm{4-2\\lambda}}{\\bm{3}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"345\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Cramer\uc758 \ubc95\uce59\uc73c\ub85c <em>y\ub97c<\/em> \uacc4\uc0b0\ud558\uae30 \uc704\ud574 A\uc758 \ud589\ub82c\uc2dd\uc758 \ub450 \ubc88\uc9f8 \uc5f4\uc744 \ub3c5\ub9bd\ud56d\uc758 \uc5f4\ub85c \ubcc0\uacbd\ud558\uace0 \uc774\ub97c A\uc758 \ud589\ub82c\uc2dd\uc73c\ub85c \ub098\ub215\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8a3c7b2cd7319f7f9db6df7df79abb50_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{y} = \\cfrac{\\begin{vmatrix} 1 &amp; 2 -2\\lambda  \\\\[1.1ex] -1 &amp; -2\\lambda  \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}}=\\cfrac{-2\\lambda -(-2+2\\lambda)}{3} = \\cfrac{\\bm{2-4\\lambda} }{\\bm{3}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"379\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c m=2\uc77c \ub54c \uc5f0\ub9bd\ubc29\uc815\uc2dd\uc758 \ud574\ub294 SCI\uc774\ubbc0\ub85c \ubb34\ud55c\ud55c \ud574\ub97c \uac00\uc9c0\ubbc0\ub85c \u03bb\uc758 \ud568\uc218\uc785\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1bc871365fab3194e382053fc6b083b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x =}  \\cfrac{\\bm{4-2\\lambda}}{\\bm{3}}  \\qquad \\bm{y=}\\cfrac{\\bm{2-4\\lambda}}{\\bm{3}} \\qquad \\bm{z=\\lambda}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"274\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \uc6b0\ub9ac\ub294 \ub9e4\uac1c\ubcc0\uc218 <em>m\uc774<\/em> 2\uc640 3\uacfc \ub2e4\ub974\uace0 2\uc640 \uac19\uc744 \ub54c \uc2dc\uc2a4\ud15c\uc758 \ud574\ub97c \uc774\ubbf8 \ubd84\uc11d\ud588\uc2b5\ub2c8\ub2e4. \ub530\ub77c\uc11c \uc6b0\ub9ac\ub294 \ub9c8\uc9c0\ub9c9 \uacbd\uc6b0\ub9cc \ud544\uc694\ud569\ub2c8\ub2e4: <em>m\uc774<\/em> 3\uc758 \uac12\uc744 \uac00\uc9c8 \ub54c: <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-118\"><\/div>\n<\/div>\n<p style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>m=3:<\/strong><\/span><\/p>\n<p> \uc774\uc81c \ub9e4\uac1c\ubcc0\uc218 <em>m\uc774<\/em> 3\uc77c \ub54c \uc5b4\ub5a4 \uc77c\uc774 \ubc1c\uc0dd\ud558\ub294\uc9c0 \ubd84\uc11d\ud558\uaca0\uc2b5\ub2c8\ub2e4. \uc774 \uacbd\uc6b0 \ud589\ub82c A\uc640 A&#8217;\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c49bbc0d7d36606aa59be050c2682de5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc}1 &amp; 1 &amp; 2 \\\\[1.1ex] -1 &amp; 3 &amp; 2 \\\\[1.1ex] 3 &amp; 0 &amp; 3 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 1 &amp; 1 &amp; 2 &amp; 2 \\\\[1.1ex] -1 &amp; 3 &amp; 2 &amp; 0 \\\\[1.1ex] 3 &amp; 0 &amp; 3 &amp; 4 \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"377\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \uc774\uc804\uc5d0 \ubcf4\uc558\ub4ef\uc774 m=3\uc77c \ub54c A\uc758 \ud589\ub82c\uc2dd\uc740 0\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \ud589\ub82c A\ub294 \ub7ad\ud06c 3\uc774 \uc544\ub2d9\ub2c8\ub2e4. \uadf8\ub7ec\ub098 \uadf8 \ub0b4\ubd80\uc5d0\ub294 0\uacfc \ub2e4\ub978 2\u00d72\uac1c\uc758 \ud589\ub82c\uc2dd\uc774 \uc788\uc2b5\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uba74 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d88ce42feb4bba9aa74aae98e1062c4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}1 &amp; 1 \\\\[1.1ex] -1 &amp; 3  \\end{vmatrix} = 3 - (-1)=4 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c \uc774 \uacbd\uc6b0 <strong>A\uc758 \uc21c\uc704\ub294 2\uc785\ub2c8\ub2e4<\/strong> .<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eded270b78ab3d95ce827e3ea428efb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ud589\ub82c A\uc758 \uc21c\uc704\ub97c \uc54c\uace0 \ub098\uba74 A&#8217;\uc758 \uc21c\uc704\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4. \ucc98\uc74c 3\uac1c \uc5f4\uc758 \ud589\ub82c\uc2dd\uc740 0\uc744 \uc81c\uacf5\ud558\ubbc0\ub85c \ud589\ub82c A&#8217; \ub0b4\ubd80\uc5d0 \uc788\ub294 \ub610 \ub2e4\ub978 3\u00d73 \ud589\ub82c\uc2dd\uc744 \uc2dc\ub3c4\ud569\ub2c8\ub2e4(\uc608: \ub9c8\uc9c0\ub9c9 3\uac1c \uc5f4\uc758 \ud589\ub82c\uc2dd).<\/p>\n<p class=\"has-text-align-center\">\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5e6f1a5c155ca004c73e51bdcbe5ece9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 1 &amp; 2 &amp; 2 \\\\[1.1ex] 3 &amp; 2 &amp; 0 \\\\[1.1ex] 0 &amp; 3 &amp; 4\\end{vmatrix}=2\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"100\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \ubc18\uba74, \ud589\ub82c A&#8217;\uc5d0\ub294 \uacb0\uacfc\uac00 0\uacfc \ub2e4\ub978 \ud589\ub82c\uc2dd\uc774 \ud3ec\ud568\ub418\uc5b4 \uc788\uc73c\ubbc0\ub85c <strong>\ud589\ub82c A&#8217;\ub294 \uc21c\uc704 3\uc785\ub2c8\ub2e4<\/strong> .<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-150bbc9c8e363db471c2d5bc4f33e1fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c m = 3\uc77c \ub54c \ud589\ub82c A\uc758 \uc21c\uc704\ub294 \ud589\ub82c A&#8217;\uc758 \uc21c\uc704\ubcf4\ub2e4 \ub0ae\uc2b5\ub2c8\ub2e4. \ub530\ub77c\uc11c Rouch\u00e9-Frobenius \uc815\ub9ac\uc5d0\uc11c \uc6b0\ub9ac\ub294 \uc2dc\uc2a4\ud15c\uc774 <strong>\ud638\ud658\ub418\uc9c0 \uc54a\ub294 \uc2dc\uc2a4\ud15c<\/strong> (IS)\uc774\ub77c\uace0 \ucd94\ub860\ud569\ub2c8\ub2e4 <strong>.<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3454f804b63f3cca9bcf08bc93815f90_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas}=3\\end{array}} \\\\ \\\\  \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A)=2 \\ \\neq \\ rg(A') = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"426\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \ub530\ub77c\uc11c \uc5f0\ub9bd\ubc29\uc815\uc2dd\uc740 <strong>m = 3\uc77c \ub54c \ud574\ub97c \uac16\uc9c0 \uc54a\uc2b5\ub2c8\ub2e4.<\/strong><\/p>\n<h3 class=\"wp-block-heading\"> \uc608\uc81c \uc694\uc57d:<\/h3>\n<p> \uc6b0\ub9ac\uac00 \ubcf8 \uac83\ucc98\ub7fc, \uc5f0\ub9bd\ubc29\uc815\uc2dd\uc758 \ud574\ub294 \ub9e4\uac1c\ubcc0\uc218 <em>m<\/em> \uc758 \uac12\uc5d0 \ub530\ub77c \ub2ec\ub77c\uc9d1\ub2c8\ub2e4. \uac00\ub2a5\ud55c \ubaa8\ub4e0 \uc0ac\ub840\ub97c \uc694\uc57d\ud558\uba74 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4. <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-32\">\n<div class=\"wp-block-column is-layout-flow\">\n<ul>\n<li> <span style=\"color:#1976d2;font-size:22px\"><strong>m\u22603 \ubc0f m\u22602:<\/strong><\/span> <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cf366a55bd307517f94fd8aa00cdf598_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{SCD} \\longrightarrow \\begin{cases} x = \\cfrac{2m^2+8-8m}{m^2-5m+6} \\\\[3.5ex] y =\\cfrac{-4+2m}{m^2-5m+6} \\\\[3.5ex] z = \\cfrac{-2m+4}{m^2-5m+6} \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"171\" width=\"240\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<ul>\n<li> <span style=\"color:#1976d2;font-size:22px\"><strong>m=2:<\/strong><\/span> <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-94002d4f4d866569ed7d6993dd977b81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{SCI} \\longrightarrow \\begin{cases} x = \\cfrac{4-2\\lambda}{3} \\\\[3.5ex] y= \\cfrac{2-4\\lambda}{3} \\\\[3.5ex] z = \\lambda \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"150\" width=\"175\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<ul>\n<li> <span style=\"color:#1976d2;font-size:22px\"><strong>m=3:<\/strong><\/span><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9b971789910fd078c90174ed3d662e9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{SI} \\longrightarrow\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"54\" style=\"vertical-align: -1px;\"><\/p>\n<p> \uc2dc\uc2a4\ud15c\uc5d0\ub294 \ud574\uacb0\ucc45\uc774 \uc5c6\uc2b5\ub2c8\ub2e4.<\/p>\n<\/div>\n<\/div>\n<p> \uc5ec\uae30\uc5d0\uc11c\ub294 Rouche\uc758 \uc815\ub9ac\uc640 Cramer\uc758 \ubc95\uce59\uc744 \uc0ac\uc6a9\ud558\uc5ec \uc804\uccb4 \uacfc\uc815\uc744 \uc218\ud589\ud588\uc9c0\ub9cc \ub9e4\uac1c\ubcc0\uc218\uac00 \uc788\ub294 \ubc29\uc815\uc2dd \uc2dc\uc2a4\ud15c\uc740 <a href=\"https:\/\/mathority.org\/ko\/\u110b\u1168\u110c\u1166\u110b\u116a-\u1112\u1162\u1100\u1167\u11af\u1103\u116c\u11ab-\u110b\u1167\u11ab\u1109\u1173\u11b8\u1106\u116e\u11ab\u110c\u1166\u1100\u1161-\u1111\u1169\u1112\u1161\u11b7\u1103\u116c\u11ab-\u110c\u1169\u1103\u1165\u11ab-\u1100\u1161\u110b\u116e\u1109\u1173-\u1107\u1161\u11bc\u1107\u1165\u11b8\/\">Gauss\uc758 \ubc29\ubc95(\uc5f0\uc2b5 \ud3ec\ud568)<\/a> \uc73c\ub85c \ub17c\uc758\ud558\uace0 \ud480 \uc218\ub3c4 \uc788\uc2b5\ub2c8\ub2e4. \ub9c1\ud06c\ub41c \ud398\uc774\uc9c0\uc5d0\uc11c \uc774 \ubc29\ubc95\uc5d0 \ub300\ud574 \uc790\uc138\ud788 \uc54c\uc544\ubcfc \uc218 \uc788\uc73c\uba70, \uc5ec\uae30\uc5d0\uc11c \uc808\ucc28\uc5d0 \ub300\ud55c \uc790\uc138\ud55c \uc124\uba85\uc740 \ubb3c\ub860 \uc608\uc81c\uc640 \ud574\uacb0\ub41c \uc5f0\uc2b5 \ubb38\uc81c\ub97c \ub2e8\uacc4\ubcc4\ub85c \ucc3e\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<h2 class=\"wp-block-heading\"> \ub9e4\uac1c\ubcc0\uc218\uac00 \uc788\ub294 \uc120\ud615 \ubc29\uc815\uc2dd \uc2dc\uc2a4\ud15c\uc758 \ud1a0\ub860 \ubb38\uc81c \ud574\uacb0<\/h2>\n<h3 class=\"wp-block-heading\"> \uc5f0\uc2b5 1<\/h3>\n<p> \ub2e4\uc74c\uacfc \uac19\uc740 \ub9e4\uac1c\ubcc0\uc218 \uc758\uc874 \uc120\ud615 \ubc29\uc815\uc2dd \uc2dc\uc2a4\ud15c\uc744 \ud1a0\ub860\ud558\uace0 \ud480\uc5b4\ubcf4\uc138\uc694. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-de-systemes-dequations-a-parametres.webp\" alt=\"\ub9e4\uac1c\ubcc0\uc218\ub97c \uc0ac\uc6a9\ud558\uc5ec \ubc29\uc815\uc2dd \uc2dc\uc2a4\ud15c\uc758 \ud574\uacb0 \uc5f0\uc2b5\" class=\"wp-image-4014\" width=\"191\" height=\"123\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \uba3c\uc800 \uc2dc\uc2a4\ud15c\uc758 \ud589\ub82c A\uc640 \ud655\uc7a5 \ud589\ub82c A&#8217;\ub97c \ub9cc\ub4ed\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b641845325965882d4aac899246cffb3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 4 &amp; -1 &amp; 1 \\\\[1.1ex] 1 &amp; 1 &amp; -3 \\\\[1.1ex] 3 &amp; -2 &amp; -m \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}4 &amp; -1 &amp; 1 &amp; 0 \\\\[1.1ex] 1 &amp; 1 &amp; -3 &amp; 0 \\\\[1.1ex] 3 &amp; -2 &amp; -m &amp; 0\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"418\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc774\uc81c \ud589\ub82c A\uc758 \uc21c\uc704\ub97c \ucc3e\uc544\uc57c \ud569\ub2c8\ub2e4. \uc774\ub97c \uc704\ud574 \uc804\uccb4 \ud589\ub82c\uc758 \ud589\ub82c\uc2dd\uc774 0\uacfc \ub2e4\ub978\uc9c0 \ud655\uc778\ud569\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4d36c7cffe0248a2f45cd5871abc6ed5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{aligned}\\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 4 &amp; -1 &amp; 1 \\\\[1.1ex] 1 &amp; 1 &amp; -3 \\\\[1.1ex] 3 &amp; -2 &amp; -m \\end{vmatrix} &amp; =-4m+9-2-3-24-m \\\\ &amp; =-5m-20 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"381\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> A\uc758 \ud589\ub82c\uc2dd\uc758 \uacb0\uacfc\ub294 m\uc758 \uac12\uc5d0 \ub530\ub77c \ub2ec\ub77c\uc9d1\ub2c8\ub2e4. \uadf8\ub7ec\ubbc0\ub85c \uc6b0\ub9ac\ub294 \ud589\ub82c\uc2dd\uc774 \uc0ac\ub77c\uc9c0\ub294 m\uc758 \uac12\uc744 \ubcfc \uac83\uc785\ub2c8\ub2e4. \uc774\ub97c \uc704\ud574 \uacb0\uacfc \uacb0\uacfc\ub97c 0\uacfc \ub3d9\uc77c\ud558\uac8c \ud558\uace0 \ubc29\uc815\uc2dd\uc744 \ud489\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e7d065a700c5f2a7f732719be777027f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-5m-20 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"109\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bc49744634d23cdf0faf446f33487eac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-5m = 20\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"79\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ca8fa07f8716b941295db488a99a6425_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\cfrac{20}{-5} = -4\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"110\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c m\uc774 -4\uc77c \ub54c A\uc758 \ud589\ub82c\uc2dd\uc740 0\uc774 \ub429\ub2c8\ub2e4. \uadf8\ub9ac\uace0 m\uc774 -4\uc640 \ub2e4\ub974\uba74 A\uc758 \ud589\ub82c\uc2dd\uc740 0\uacfc \ub2e4\ub97c \uac83\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \uac01 \uacbd\uc6b0\ub97c \uac1c\ubcc4\uc801\uc73c\ub85c \ubd84\uc11d\ud574\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<p class=\"has-text-align-left\" style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>m\u2260-4:<\/strong><\/span><\/p>\n<p class=\"has-text-align-left\"> \ubc29\uae08 \ubcf8 \uac83\ucc98\ub7fc \ub9e4\uac1c\ubcc0\uc218 m\uc774 -4\uc640 \ub2e4\ub97c \ub54c \ud589\ub82c A\uc758 \ud589\ub82c\uc2dd\uc740 0\uacfc \ub2e4\ub985\ub2c8\ub2e4. \ub530\ub77c\uc11c A\uc758 \uc21c\uc704\ub294 3\uc785\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-842ae3b68df41813d9e409968f3ae946_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uac8c\ub2e4\uac00 \ud589\ub82c A&#8217;\uc758 \uc21c\uc704\ub3c4 3\uc785\ub2c8\ub2e4. \uadf8 \uc548\uc5d0 \ud589\ub82c\uc2dd\uc774 0\uacfc \ub2e4\ub978 3\u00d73 \ubd80\ubd84\ud589\ub82c\uc774 \uc788\uae30 \ub54c\ubb38\uc785\ub2c8\ub2e4. \uadf8\ub9ac\uace0 &#8216;4\u00d74 \ud589\ub82c\uc2dd\uc744 \ub9cc\ub4e4 \uc218 \uc5c6\uc73c\ubbc0\ub85c \uc21c\uc704 4\uac00 \ub420 \uc218 \uc5c6\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-150bbc9c8e363db471c2d5bc4f33e1fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c <strong>Rouch\u00e9-Frobenius \uc815\ub9ac\ub97c<\/strong> \uc801\uc6a9\ud558\uba74 A\uc758 \ubc94\uc704\uac00 A&#8217;\uc758 \ubc94\uc704 \ubc0f \ubbf8\uc9c0\uc218\uc758 \uac1c\uc218\uc640 \ub3d9\uc77c\ud558\ubbc0\ub85c \uc774\uac83\uc774 <strong>\ud638\ud658 \uac00\ub2a5\ud55c \uacb0\uc815\uacc4<\/strong> (SCD)\uc784\uc744 \uc54c \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-31b495a48a75d7af1f23e38818bf4eca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 3 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3 \\end{array}} \\\\ \\\\ \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = n = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCD}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"436\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc2dc\uc2a4\ud15c\uc774 SCD\ub77c\ub294 \uac83\uc744 \uc54c\uac8c \ub418\uba74 \uc774\ub97c \ud574\uacb0\ud558\uae30 \uc704\ud574 Cramer\uc758 \uaddc\uce59\uc744 \uc801\uc6a9\ud569\ub2c8\ub2e4. \uc774\ub97c \uc218\ud589\ud558\ub824\uba74 \ud589\ub82c A, \ud589\ub82c\uc2dd \ubc0f \ud589\ub82c A&#8217;\uac00 \ub2e4\uc74c\uacfc \uac19\ub2e4\ub294 \uc810\uc744 \uae30\uc5b5\ud558\uc2ed\uc2dc\uc624. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e9e0bd352ad7713a03824ead1239041c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 4 &amp; -1 &amp; 1  \\\\[1.1ex] 1 &amp; 1 &amp; -3 \\\\[1.1ex] 3 &amp; -2 &amp; -m \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c} 4 &amp; -1 &amp; 1 &amp; 0 \\\\[1.1ex] 1 &amp; 1 &amp; -3 &amp; 0 \\\\[1.1ex] 3 &amp; -2 &amp; -m &amp; 0\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"418\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-530cb4576ee1a91d6246ed6cf9dd0fc8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 4 &amp; -1 &amp; 1  \\\\[1.1ex] 1 &amp; 1 &amp; -3 \\\\[1.1ex] 3 &amp; -2 &amp; -m\\end{vmatrix} =-5m-20\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"253\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> xatex]\ub97c Cramer\uc758 \ubc95\uce59\uc73c\ub85c \uacc4\uc0b0\ud558\uae30 \uc704\ud574 A\uc758 \ud589\ub82c\uc2dd\uc758 \uccab \ubc88\uc9f8 \uc5f4\uc744 \ub3c5\ub9bd \ud56d\uc758 \uc5f4\ub85c \ubcc0\uacbd\ud558\uace0 \uc774\ub97c A\uc758 \ud589\ub82c\uc2dd\uc73c\ub85c \ub098\ub215\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b076bbda8d086abedb459570d74c80a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 0 &amp; -1 &amp; 1  \\\\[1.1ex] 0 &amp; 1 &amp; -3 \\\\[1.1ex] 0 &amp; -2 &amp; -m\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{0}{-5m-20} = \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"280\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ubbf8\uc9c0\uc218\ub97c \uacc4\uc0b0\ud558\uae30 \uc704\ud574 Cramer\uc758 \ubc95\uce59\uc744 \uc0ac\uc6a9\ud558\uc5ec A \ud589\ub82c\uc2dd\uc758 \ub450 \ubc88\uc9f8 \uc5f4\uc744 \ub3c5\ub9bd\ud56d \uc5f4\ub85c \ubcc0\uacbd\ud558\uace0 \uc774\ub97c A \ud589\ub82c\uc2dd\uc73c\ub85c \ub098\ub215\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f642a8cb2fd174e5c383a4df53e11a2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{y} = \\cfrac{\\begin{vmatrix} 4 &amp; 0 &amp; 1  \\\\[1.1ex] 1 &amp; 0 &amp; -3 \\\\[1.1ex] 3 &amp; 0 &amp; -m \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{0}{-5m-20} = \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"265\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Cramer\uc758 \ubc95\uce59\uc73c\ub85c z\ub97c \uacc4\uc0b0\ud558\uae30 \uc704\ud574 A\uc758 \ud589\ub82c\uc2dd\uc758 \uc138 \ubc88\uc9f8 \uc5f4\uc744 \ub3c5\ub9bd\ud56d\uc758 \uc5f4\ub85c \ubcc0\uacbd\ud558\uace0 \uc774\ub97c A\uc758 \ud589\ub82c\uc2dd\uc73c\ub85c \ub098\ub215\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5020a9ba4995b9715d8d1fb4720952b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{z} = \\cfrac{\\begin{vmatrix}4 &amp; -1 &amp; 0 \\\\[1.1ex] 1 &amp; 1 &amp; 0 \\\\[1.1ex] 3 &amp; -2 &amp; 0 \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{0}{-5m-20} = \\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"258\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c m\u2260-4\uc778 \uacbd\uc6b0\uc758 \uc5f0\ub9bd\ubc29\uc815\uc2dd\uc758 \ud574\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<p class=\"has-text-align-center\"> <strong>x=0 y=0 z=0<\/strong><\/p>\n<p class=\"has-text-align-left\" style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>m=-4:<\/strong><\/span><\/p>\n<p class=\"has-text-align-left\"> \uc774\uc81c \ub9e4\uac1c\ubcc0\uc218 m\uc774 -4\uc77c \ub54c \uc2dc\uc2a4\ud15c\uc744 \ubd84\uc11d\ud558\uaca0\uc2b5\ub2c8\ub2e4. \uc774 \uacbd\uc6b0 \ud589\ub82c A\uc640 A&#8217;\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e585e6465d27ea27ccc2c1a6ec1fe9ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 4 &amp; -1 &amp; 1 \\\\[1.1ex] 1 &amp; 1 &amp; -3 \\\\[1.1ex] 3 &amp; -2 &amp; 4 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}4 &amp; -1 &amp; 1 &amp; 0 \\\\[1.1ex] 1 &amp; 1 &amp; -3 &amp; 0 \\\\[1.1ex] 3 &amp; -2 &amp; 4 &amp; 0\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"405\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc774\uc804\uc5d0 \ubcf4\uc558\ub4ef\uc774 m=-4\uc77c \ub54c A\uc758 \ud589\ub82c\uc2dd\uc740 0\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \ud589\ub82c A\ub294 \ub7ad\ud06c 3\uc774 \uc544\ub2d9\ub2c8\ub2e4. \uadf8\ub7ec\ub098 \uadf8 \ub0b4\ubd80\uc5d0\ub294 0\uacfc \ub2e4\ub978 2\u00d72 \ud589\ub82c\uc2dd\uc774 \uc788\uc2b5\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uba74 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a62d150aef4ec798814d25c988b0afd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   \\begin{vmatrix}4 &amp; -1 \\\\[1.1ex] 1 &amp; 1 \\end{vmatrix} =4-(-1)=5 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ud589\ub82c\uc774 0\uacfc \ub2e4\ub978 2\ucc28 \ud589\ub82c\uc2dd\uc744 \uac00\uc9c0\ubbc0\ub85c \ud589\ub82c A\ub294 \ub7ad\ud06c 2\uc785\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eded270b78ab3d95ce827e3ea428efb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> A\uc758 \uc21c\uc704\ub97c \uc54c\uba74 A&#8217;\uc758 \uc21c\uc704\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4. \uc6b0\ub9ac\ub294 \ucc98\uc74c 3\uac1c \uc5f4\uc758 \ud589\ub82c\uc2dd\uc774 0\uc774\ub77c\ub294 \uac83\uc744 \uc774\ubbf8 \uc54c\uace0 \uc788\uc73c\ubbc0\ub85c \ub2e4\ub978 \uac00\ub2a5\ud55c 3\u00d73 \ud589\ub82c\uc2dd\uc744 \uc2dc\ub3c4\ud574 \ubd05\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-39fc49c7a63920c8956703a4851ecfc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} -1 &amp; 1 &amp; 0 \\\\[1.1ex] 1 &amp; -3 &amp; 0 \\\\[1.1ex]  -2 &amp; 4 &amp; 0 \\end{vmatrix} = 0 \\quad \\begin{vmatrix}4 &amp; 1 &amp; 0 \\\\[1.1ex] 1 &amp;  -3 &amp; 0 \\\\[1.1ex] 3 &amp;  4 &amp; 0  \\end{vmatrix} = 0 \\quad \\begin{vmatrix}4 &amp; -1 &amp;  0 \\\\[1.1ex] 1 &amp; 1 &amp; 0 \\\\[1.1ex] 3 &amp; -2 &amp;  0\\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"404\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ud589\ub82c A&#8217;\uc758 \ubaa8\ub4e0 3\u00d73 \ud589\ub82c\uc2dd\uc740 0\uc774\ubbc0\ub85c \ud589\ub82c A&#8217;\ub3c4 \uc21c\uc704 3\uc774 \uc544\ub2d9\ub2c8\ub2e4. \uadf8\ub7ec\ub098 \uadf8 \ub0b4\ubd80\uc5d0\ub294 0\uacfc \ub2e4\ub978 \ucc28\uc218 2\uc758 \uacb0\uc815\uc790\uac00 \uc788\uc2b5\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uba74 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a62d150aef4ec798814d25c988b0afd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   \\begin{vmatrix}4 &amp; -1 \\\\[1.1ex] 1 &amp; 1 \\end{vmatrix} =4-(-1)=5 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c \ud589\ub82c A&#8217;\ub294 \uc21c\uc704 2\uac00 \ub429\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-80398cfd2fff647f81c0d4160f3b2f7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"81\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ud589\ub82c A\uc758 \ubc94\uc704\ub294 \ud589\ub82c A&#8217;\uc758 \ubc94\uc704\uc640 \ub3d9\uc77c\ud558\uc9c0\ub9cc \uc774 \ub450 \uac1c\ub294 \uc2dc\uc2a4\ud15c(3)\uc758 \ubbf8\uc9c0\uc218 \uc218\ubcf4\ub2e4 \uc791\uc2b5\ub2c8\ub2e4. \ub530\ub77c\uc11c Rouch\u00e9-Frobenius \uc815\ub9ac\uc5d0 \ub530\ub974\uba74 c\ub294 \ubd88\ud655\uc815 \ud638\ud658 \uc2dc\uc2a4\ud15c(ICS)\uc785\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f43fdf4978386c61d18f9bb5b5883881_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=2 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3 \\end{array}} \\\\ \\\\ \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = 2 \\ < \\ n =3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"475\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> ICS \uc2dc\uc2a4\ud15c\uc774\ubbc0\ub85c \uc774\ub97c \ud574\uacb0\ud558\ub824\uba74 \uc2dc\uc2a4\ud15c \uc804\ud658\uc774 \ud544\uc694\ud569\ub2c8\ub2e4. \uba3c\uc800 \ud558\ub098\uc758 \ubc29\uc815\uc2dd\uc744 \uc81c\uac70\ud569\ub2c8\ub2e4. \uc774 \uacbd\uc6b0 \ub9c8\uc9c0\ub9c9 \ubc29\uc815\uc2dd\uc774 \ub429\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4d5499fda37d3cbf56fbf6ecbfc6bfba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 4x-y+z= 0 \\\\[1.5ex] x+y-3z=0 \\\\[1.5ex] \\cancel{3x-2y+4z = 0} \\end{cases} \\longrightarrow \\quad \\begin{cases} 4x-y+z= 0 \\\\[1.5ex] x+y-3z=0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"349\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc774\uc81c \ubcc0\uc218 z\ub97c \u03bb\ub85c \ubcc0\ud658\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-96ea68274b072531365282e01d926718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}4x-y+z= 0 \\\\[1.5ex] x+y-3z=0 \\end{cases} \\xrightarrow{z \\ = \\ \\lambda}\\quad \\begin{cases} 4x-y+\\lambda= 0 \\\\[1.5ex] x+y-3\\lambda=0\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"353\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uadf8\ub9ac\uace0 \uc6b0\ub9ac\ub294 \ub3c5\ub9bd\ub41c \ud56d\uc744 \u03bb\ub85c \uac16\ub294 \ud56d\uc744 \ub123\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6192715e62cc8e3d3fe4c51da8629c70_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases} 4x-y=-\\lambda \\\\[1.5ex] x+y=3\\lambda \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"110\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc2dc\uc2a4\ud15c\uc758 \ud589\ub82c A\uc640 \ud589\ub82c A&#8217;\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \uc720\uc9c0\ub429\ub2c8\ub2e4. <\/p>\n<p class=\"has-text-align-center\">\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-99a91208ff1742f81e799aa5ab7f9097_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 4 &amp; -1 \\\\[1.1ex] 1 &amp; 1 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{cc|c} 4 &amp; -1 &amp; -\\lambda \\\\[1.1ex] 1 &amp; 1 &amp; 3\\lambda \\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"337\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub9c8\uc9c0\ub9c9\uc73c\ub85c \uc2dc\uc2a4\ud15c\uc744 \ubcc0\ud615\ud55c \ud6c4\uc5d0\ub294 Cramer\uc758 \ubc95\uce59\uc744 \uc801\uc6a9\ud569\ub2c8\ub2e4. \uc774\ub97c \uc704\ud574 \uba3c\uc800 A\uc758 \ud589\ub82c\uc2dd\uc744 \ud574\uacb0\ud569\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-34832b783ddaf4af205302240d0feafb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix} 4 &amp; -1 \\\\[1.1ex] 1 &amp; 1 \\end{vmatrix} = 4-(-1)=5\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"228\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Cramer\uc758 \ubc95\uce59\uc73c\ub85c x\ub97c \uacc4\uc0b0\ud558\uae30 \uc704\ud574 A\uc758 \ud589\ub82c\uc2dd\uc758 \uccab \ubc88\uc9f8 \uc5f4\uc744 \ub3c5\ub9bd\ud56d\uc758 \uc5f4\ub85c \ubcc0\uacbd\ud558\uace0 \uc774\ub97c A\uc758 \ud589\ub82c\uc2dd\uc73c\ub85c \ub098\ub215\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-362167d2eaa02d7243dedd5c385d08b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix}-\\lambda &amp; -1 \\\\[1.1ex] 3\\lambda &amp; 1 \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{-\\lambda-(-3\\lambda)}{5} =\\cfrac{\\bm{2\\lambda}}{\\bm{5}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"285\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ubbf8\uc9c0\uc218\ub97c \uacc4\uc0b0\ud558\uae30 \uc704\ud574 Cramer\uc758 \ubc95\uce59\uc744 \uc0ac\uc6a9\ud558\uc5ec A \ud589\ub82c\uc2dd\uc758 \ub450 \ubc88\uc9f8 \uc5f4\uc744 \ub3c5\ub9bd\ud56d \uc5f4\ub85c \ubcc0\uacbd\ud558\uace0 \uc774\ub97c A \ud589\ub82c\uc2dd\uc73c\ub85c \ub098\ub215\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede5a3a87ac0bb9ceea4232ec7b381fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{y} = \\cfrac{\\begin{vmatrix} 4 &amp; -\\lambda \\\\[1.1ex] 1 &amp; 3\\lambda \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{12\\lambda-(-\\lambda)}{5}=\\cfrac{\\bm{13\\lambda}}{\\bm{5}}\" title=\"Rendered by QuickLaTeX.com\" height=\"81\" width=\"267\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c m=-4\uc77c \ub54c \uc5f0\ub9bd\ubc29\uc815\uc2dd\uc758 \ud574\ub294 SCI\uc774\uace0 \ub530\ub77c\uc11c \ubb34\ud55c\ud55c \ud574\ub97c \uac00\uc9c0\ubbc0\ub85c \u03bb\uc758 \ud568\uc218\uc785\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-316aed1af52eba51058c3c753717c1af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x =}\\cfrac{\\bm{2\\lambda}}{\\bm{5}}\\qquad \\bm{y=}\\cfrac{\\bm{13\\lambda}}{\\bm{5}} \\qquad \\bm{z=\\lambda}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"222\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-119\"><\/div>\n<\/div>\n<h3 class=\"wp-block-heading\"> \uc5f0\uc2b5 2<\/h3>\n<p> \ub2e4\uc74c\uacfc \uac19\uc740 \ub9e4\uac1c\ubcc0\uc218 \uc758\uc874 \uc120\ud615 \ubc29\uc815\uc2dd \uc2dc\uc2a4\ud15c\uc5d0 \ub300\ud55c \ud574\ub97c \ud1a0\ub860\ud558\uace0 \ucc3e\uc544\ubcf4\uc138\uc694. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-etape-par-etape-d-un-systeme-d-equations-lineaires-avec-parametres.webp\" alt=\"\ub9e4\uac1c\ubcc0\uc218\ub97c \uc0ac\uc6a9\ud558\uc5ec \ub2e8\uacc4\ubcc4 \uc120\ud615 \ubc29\uc815\uc2dd \uc2dc\uc2a4\ud15c\uc744 \ud574\uacb0\ud558\ub294 \uc5f0\uc2b5\" class=\"wp-image-4020\" width=\"187\" height=\"122\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E3F2FD boto_ver_solucion\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E3F2FD\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\ud574\uacb0\ucc45 \ubcf4\uae30<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \uac00\uc7a5 \uba3c\uc800 \ud574\uc57c \ud560 \uc77c\uc740 \uc2dc\uc2a4\ud15c\uc758 \ud589\ub82c A\uc640 \ud655\uc7a5 \ud589\ub82c A&#8217;\uc785\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e924dd1b3fe5c0da561b92da9bf5da3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} m &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; m\\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}m &amp; 2 &amp; 1 &amp; 2 \\\\[1.1ex] 2 &amp; 4 &amp; 2 &amp; 0 \\\\[1.1ex] 1 &amp; -2 &amp; m &amp; 3\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"404\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc774\uc81c \ud589\ub82c A\uc758 \uc21c\uc704\ub97c \ucc3e\uc544\uc57c \ud569\ub2c8\ub2e4. \uc774\ub97c \uc704\ud574 \uc804\uccb4 \ud589\ub82c\uc758 \ud589\ub82c\uc2dd\uc774 0\uacfc \ub2e4\ub978\uc9c0 \ud655\uc778\ud569\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5d0f8dbb7408ac6521e0144ac2f3a8a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{aligned}\\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix}m &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; m\\end{vmatrix} &amp; =4m^2+4-4-4+4m-4m \\\\ &amp; =4m^2-4 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"384\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> A\uc758 \ud589\ub82c\uc2dd\uc758 \uacb0\uacfc\ub294 m\uc758 \uac12\uc5d0 \ub530\ub77c \ub2ec\ub77c\uc9d1\ub2c8\ub2e4. \uadf8\ub7ec\ubbc0\ub85c \uc6b0\ub9ac\ub294 \ud589\ub82c\uc2dd\uc774 \uc0ac\ub77c\uc9c0\ub294 m\uc758 \uac12\uc744 \ubcfc \uac83\uc785\ub2c8\ub2e4. \uc774\ub97c \uc704\ud574 \uacb0\uacfc \uacb0\uacfc\ub97c 0\uacfc \ub3d9\uc77c\ud558\uac8c \ud558\uace0 \ubc29\uc815\uc2dd\uc744 \ud489\ub2c8\ub2e4. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-059d7760bb8cee65e13e43a97e156e1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4m^2-4 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"95\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1aae0b3268b7d9e348b8eb80ce957ce8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4m^2=4\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"65\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1f31504086ef5ec070b337db57ad444f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m^2 = \\cfrac{4}{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"58\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-baf4ba1311e2f2ce47aecfb90a411b64_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m^2 = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"55\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c8dda3f9896a1a4dece5059a485cdcfb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m = \\pm 1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"61\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c m\uc774 +1 \ub610\ub294 -1\uc77c \ub54c A\uc758 \ud589\ub82c\uc2dd\uc740 0\uc774 \ub429\ub2c8\ub2e4. \uadf8\ub9ac\uace0 m\uc774 +1 \ubc0f -1\uacfc \ub2e4\ub97c \ub54c A\uc758 \ud589\ub82c\uc2dd\uc740 0\uacfc \ub2e4\ub97c \uac83\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \uac01 \uacbd\uc6b0\ub97c \ub2e4\uc74c\uacfc \uac19\uc774 \ubd84\uc11d\ud574\uc57c \ud569\ub2c8\ub2e4.<\/p>\n<p class=\"has-text-align-left\" style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>m\u2260+1 \ubc0f m\u2260-1:<\/strong><\/span><\/p>\n<p class=\"has-text-align-left\"> \ubc29\uae08 \ubcf8 \uac83\ucc98\ub7fc \ub9e4\uac1c\ubcc0\uc218 m\uc774 +1 \ubc0f -1\uacfc \ub2e4\ub97c \ub54c \ud589\ub82c A\uc758 \ud589\ub82c\uc2dd\uc740 0\uacfc \ub2e4\ub985\ub2c8\ub2e4. \ub530\ub77c\uc11c A\uc758 \uc21c\uc704\ub294 3\uc785\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-842ae3b68df41813d9e409968f3ae946_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uac8c\ub2e4\uac00 \ud589\ub82c A&#8217;\uc758 \uc21c\uc704\ub3c4 3\uc785\ub2c8\ub2e4. \uadf8 \uc548\uc5d0 \ud589\ub82c\uc2dd\uc774 0\uacfc \ub2e4\ub978 3\u00d73 \ubd80\ubd84\ud589\ub82c\uc774 \uc788\uae30 \ub54c\ubb38\uc785\ub2c8\ub2e4. \uadf8\ub9ac\uace0 &#8216;4\u00d74 \ud589\ub82c\uc2dd\uc744 \ub9cc\ub4e4 \uc218 \uc5c6\uc73c\ubbc0\ub85c \uc21c\uc704 4\uac00 \ub420 \uc218 \uc5c6\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-150bbc9c8e363db471c2d5bc4f33e1fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c <strong>Rouch\u00e9-Frobenius \uc815\ub9ac\ub97c<\/strong> \uc801\uc6a9\ud558\uba74 A\uc758 \ubc94\uc704\uac00 A&#8217;\uc758 \ubc94\uc704 \ubc0f \ubbf8\uc9c0\uc218\uc758 \uac1c\uc218\uc640 \ub3d9\uc77c\ud558\ubbc0\ub85c \uc774\uac83\uc774 <strong>\ud638\ud658 \uac00\ub2a5\ud55c \uacb0\uc815\uacc4<\/strong> (SCD)\uc784\uc744 \uc54c \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-31b495a48a75d7af1f23e38818bf4eca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 3 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3 \\end{array}} \\\\ \\\\ \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = rg(A') = n = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SCD}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"436\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc2dc\uc2a4\ud15c\uc774 SCD\ub77c\ub294 \uac83\uc744 \uc54c\uac8c \ub418\uba74 \uc774\ub97c \ud574\uacb0\ud558\uae30 \uc704\ud574 Cramer\uc758 \uaddc\uce59\uc744 \uc801\uc6a9\ud569\ub2c8\ub2e4. \uc774\ub97c \uc218\ud589\ud558\ub824\uba74 \ud589\ub82c A, \ud589\ub82c\uc2dd \ubc0f \ud589\ub82c A&#8217;\uac00 \ub2e4\uc74c\uacfc \uac19\ub2e4\ub294 \uc810\uc744 \uae30\uc5b5\ud558\uc2ed\uc2dc\uc624. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e924dd1b3fe5c0da561b92da9bf5da3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} m &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; m\\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}m &amp; 2 &amp; 1 &amp; 2 \\\\[1.1ex] 2 &amp; 4 &amp; 2 &amp; 0 \\\\[1.1ex] 1 &amp; -2 &amp; m &amp; 3\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"404\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b5114be5e37d2c91f02f22fba22edc42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix}A \\end{vmatrix}= \\begin{vmatrix}m &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; m\\end{vmatrix}=4m^2-4\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"231\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Cramer\uc758 \ubc95\uce59\uc73c\ub85c x\ub97c \uacc4\uc0b0\ud558\uae30 \uc704\ud574 A\uc758 \ud589\ub82c\uc2dd\uc758 \uccab \ubc88\uc9f8 \uc5f4\uc744 \ub3c5\ub9bd\ud56d\uc758 \uc5f4\ub85c \ubcc0\uacbd\ud558\uace0 \uc774\ub97c A\uc758 \ud589\ub82c\uc2dd\uc73c\ub85c \ub098\ub215\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4b7402e02ee62bd78a6f880d3d122119_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x} = \\cfrac{\\begin{vmatrix} 2&amp; 2 &amp; 1 \\\\[1.1ex] 0 &amp; 4 &amp; 2 \\\\[1.1ex] 3 &amp; -2 &amp; m\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{\\bm{8m+8}}{\\bm{4m^2-4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"218\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ubbf8\uc9c0\uc218\ub97c \uacc4\uc0b0\ud558\uae30 \uc704\ud574 Cramer\uc758 \ubc95\uce59\uc744 \uc0ac\uc6a9\ud558\uc5ec A \ud589\ub82c\uc2dd\uc758 \ub450 \ubc88\uc9f8 \uc5f4\uc744 \ub3c5\ub9bd\ud56d \uc5f4\ub85c \ubcc0\uacbd\ud558\uace0 \uc774\ub97c A \ud589\ub82c\uc2dd\uc73c\ub85c \ub098\ub215\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-551c66a9530d0195a9a4ff64d42350c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{y} = \\cfrac{\\begin{vmatrix} m &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 0 &amp; 2 \\\\[1.1ex] 1 &amp; 3 &amp; m\\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{\\bm{-10m+10}}{\\bm{4m^2-4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"235\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Cramer\uc758 \ubc95\uce59\uc73c\ub85c z\ub97c \uacc4\uc0b0\ud558\uae30 \uc704\ud574 A\uc758 \ud589\ub82c\uc2dd\uc758 \uc138 \ubc88\uc9f8 \uc5f4\uc744 \ub3c5\ub9bd\ud56d\uc758 \uc5f4\ub85c \ubcc0\uacbd\ud558\uace0 \uc774\ub97c A\uc758 \ud589\ub82c\uc2dd\uc73c\ub85c \ub098\ub215\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-28375ce522b7644a745a9adea4c78ae7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{z} = \\cfrac{\\begin{vmatrix}m &amp; 2 &amp; 2 \\\\[1.1ex] 2 &amp; 4 &amp; 0 \\\\[1.1ex] 1 &amp; -2 &amp; 3 \\end{vmatrix}}{\\begin{vmatrix} A \\end{vmatrix}} = \\cfrac{\\bm{12m-28}}{\\bm{4m^2-4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"113\" width=\"227\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c m\u2260+1 \ubc0f m\u2260-1\uc758 \uacbd\uc6b0 \ubc29\uc815\uc2dd \uc2dc\uc2a4\ud15c\uc758 \ud574\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-59ecb2f1448989cd1c41af45e7bc4a32_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\bm{x = }\\cfrac{\\bm{8m+8}}{\\bm{4m^2-4}} \\qquad \\bm{y=}\\cfrac{\\bm{-10m+10}}{\\bm{4m^2-4}}\\qquad \\bm{z =} \\cfrac{\\bm{12m-28}}{\\bm{4m^2-4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"383\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>m=+1:<\/strong><\/span><\/p>\n<p class=\"has-text-align-left\"> \uc774\uc81c \ub9e4\uac1c\ubcc0\uc218 m\uc774 1\uc77c \ub54c \uc2dc\uc2a4\ud15c\uc744 \ubd84\uc11d\ud558\uaca0\uc2b5\ub2c8\ub2e4. \uc774 \uacbd\uc6b0 \ud589\ub82c A\uc640 A&#8217;\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f6af272a99ed7c281ee8dd9199698686_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} 1 &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; 1 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}1 &amp; 2 &amp; 1 &amp; 2 \\\\[1.1ex] 2 &amp; 4 &amp; 2 &amp; 0 \\\\[1.1ex] 1 &amp; -2 &amp; 1 &amp; 3\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"377\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc774\uc804\uc5d0 \ubcf4\uc558\ub4ef\uc774 m=+1\uc77c \ub54c A\uc758 \ud589\ub82c\uc2dd\uc740 0\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \ud589\ub82c A\ub294 \ub7ad\ud06c 3\uc774 \uc544\ub2d9\ub2c8\ub2e4. \uadf8\ub7ec\ub098 \uadf8 \ub0b4\ubd80\uc5d0\ub294 0\uacfc \ub2e4\ub978 2\u00d72\uac1c\uc758 \ud589\ub82c\uc2dd\uc774 \uc788\uc2b5\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uba74 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ebedf6c9e4316844dc99ceca9472fac5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   \\begin{vmatrix}2 &amp; 4\\\\[1.1ex] 1 &amp; -2 \\end{vmatrix} =-4-4=-8 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ud589\ub82c\uc774 0\uacfc \ub2e4\ub978 2\ucc28 \ud589\ub82c\uc2dd\uc744 \uac00\uc9c0\ubbc0\ub85c \ud589\ub82c A\ub294 \ub7ad\ud06c 2\uc785\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eded270b78ab3d95ce827e3ea428efb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> A\uc758 \uc21c\uc704\ub97c \uc54c\uba74 A&#8217;\uc758 \uc21c\uc704\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4. \uc6b0\ub9ac\ub294 \ucc98\uc74c 3\uac1c \uc5f4\uc758 \ud589\ub82c\uc2dd\uc774 0\uc774\ub77c\ub294 \uac83\uc744 \uc774\ubbf8 \uc54c\uace0 \uc788\uc73c\ubbc0\ub85c \uc774\uc81c \uc608\ub97c \ub4e4\uc5b4 \ub9c8\uc9c0\ub9c9 3\uac1c \uc5f4\uc758 \ud589\ub82c\uc2dd\uc744 \uc0ac\uc6a9\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4d0109b155be9f87a0cee337ddec5517_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} 2 &amp; 1 &amp; 2 \\\\[1.1ex] 4 &amp; 2 &amp; 0 \\\\[1.1ex]  -2 &amp; 1 &amp; 3 \\end{vmatrix} = 16\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"124\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ubc18\uba74, \ud589\ub82c A&#8217;\uc5d0\ub294 \uacb0\uacfc\uac00 0\uacfc \ub2e4\ub978 3\u00d73 \ud589\ub82c\uc2dd\uc774 \ud3ec\ud568\ub418\uc5b4 \uc788\uc73c\ubbc0\ub85c \ud589\ub82c A&#8217;\ub294 \uc21c\uc704 3\uc785\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-150bbc9c8e363db471c2d5bc4f33e1fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c m=+1\uc77c \ub54c \ud589\ub82c A\uc758 \uc21c\uc704\ub294 \ud589\ub82c A&#8217;\uc758 \uc21c\uc704\ubcf4\ub2e4 \uc791\uc2b5\ub2c8\ub2e4. \ub530\ub77c\uc11c Rouch\u00e9-Frobenius \uc815\ub9ac\ub85c\ubd80\ud130 \uc6b0\ub9ac\ub294 \uc2dc\uc2a4\ud15c\uc774 \ud638\ud658\ub418\uc9c0 \uc54a\ub294 \uc2dc\uc2a4\ud15c(IS)\uc774\ub77c\uace0 \ucd94\ub860\ud569\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b2bb3fec88cf5c6d788afb4480ab1f58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3 \\end{array}} \\\\ \\\\ \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = 2 \\ \\neq \\ rg(A') = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"426\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c \uc5f0\ub9bd\ubc29\uc815\uc2dd\uc740 <strong>m=+1 \uc77c \ub54c \ud638\ud658\ub418\uc9c0 \uc54a\ub294 \uc5f0\ub9bd\ubc29\uc815\uc2dd\uc774\ubbc0\ub85c \ud574\uac00 \uc5c6\uc2b5\ub2c8\ub2e4<\/strong> .<\/p>\n<p class=\"has-text-align-left\" style=\"font-size:26px\"> <span style=\"color:#1976d2;\"><strong>m=-1:<\/strong><\/span><\/p>\n<p class=\"has-text-align-left\"> \uc774\uc81c \ub9e4\uac1c\ubcc0\uc218 m\uc774 -1\uc77c \ub54c \uc2dc\uc2a4\ud15c\uc744 \ubd84\uc11d\ud558\uaca0\uc2b5\ub2c8\ub2e4. \uc774 \uacbd\uc6b0 \ud589\ub82c A\uc640 A&#8217;\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-46b0a00ef38d0e5a433b418de7eb1ec3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  A= \\left( \\begin{array}{ccc} -1 &amp; 2 &amp; 1 \\\\[1.1ex] 2 &amp; 4 &amp; 2 \\\\[1.1ex] 1 &amp; -2 &amp; -1 \\end{array} \\right) \\qquad A'= \\left( \\begin{array}{ccc|c}-1 &amp; 2 &amp; 1 &amp; 2 \\\\[1.1ex] 2 &amp; 4 &amp; 2 &amp; 0 \\\\[1.1ex] 1 &amp; -2 &amp; -1 &amp; 3\\end{array} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"432\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \uc774\uc804\uc5d0 \ubcf4\uc558\ub4ef\uc774 m=-1\uc77c \ub54c A\uc758 \ud589\ub82c\uc2dd\uc740 0\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \ud589\ub82c A\ub294 \ub7ad\ud06c 3\uc774 \uc544\ub2d9\ub2c8\ub2e4. \uadf8\ub7ec\ub098 \uadf8 \ub0b4\ubd80\uc5d0\ub294 0\uacfc \ub2e4\ub978 2\u00d72\uac1c\uc758 \ud589\ub82c\uc2dd\uc774 \uc788\uc2b5\ub2c8\ub2e4. \uc608\ub97c \ub4e4\uba74 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ff5373c7e7901f253421efbbd52d192e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle   \\begin{vmatrix}-1 &amp; 2\\\\[1.1ex] 2 &amp; 4 \\end{vmatrix} =-4-4=-8 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ud589\ub82c\uc774 0\uacfc \ub2e4\ub978 2\ucc28 \ud589\ub82c\uc2dd\uc744 \uac00\uc9c0\ubbc0\ub85c \ud589\ub82c A\ub294 \ub7ad\ud06c 2\uc785\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eded270b78ab3d95ce827e3ea428efb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A)=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> A\uc758 \uc21c\uc704\ub97c \uc54c\uba74 A&#8217;\uc758 \uc21c\uc704\ub97c \uacc4\uc0b0\ud569\ub2c8\ub2e4. \uc6b0\ub9ac\ub294 \ucc98\uc74c 3\uac1c \uc5f4\uc758 \ud589\ub82c\uc2dd\uc774 0\uc774\ub77c\ub294 \uac83\uc744 \uc774\ubbf8 \uc54c\uace0 \uc788\uc73c\ubbc0\ub85c \uc774\uc81c \uc608\ub97c \ub4e4\uc5b4 \uc5f4 1, 3, 4\uc758 \ud589\ub82c\uc2dd\uc744 \uc0ac\uc6a9\ud574 \ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a95e30910bd64db920f3c2bcb5f2ff62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{vmatrix} -1 &amp; 1 &amp; 2 \\\\[1.1ex] 2 &amp; 2 &amp; 0 \\\\[1.1ex] 1 &amp;  -1 &amp; 3\\end{vmatrix} = -20\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"152\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ubc18\uba74, \ud589\ub82c A&#8217;\uc5d0\ub294 \uacb0\uacfc\uac00 0\uacfc \ub2e4\ub978 3\u00d73 \ud589\ub82c\uc2dd\uc774 \ud3ec\ud568\ub418\uc5b4 \uc788\uc73c\ubbc0\ub85c \ud589\ub82c A&#8217;\ub294 \uc21c\uc704 3\uc785\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-150bbc9c8e363db471c2d5bc4f33e1fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  rg(A')=3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c m = -1\uc77c \ub54c \ud589\ub82c A\uc758 \uc21c\uc704\ub294 \ud589\ub82c A&#8217;\uc758 \uc21c\uc704\ubcf4\ub2e4 \ub0ae\uc2b5\ub2c8\ub2e4. \ub530\ub77c\uc11c Rouch\u00e9-Frobenius \uc815\ub9ac\ub85c\ubd80\ud130 \uc6b0\ub9ac\ub294 \uc2dc\uc2a4\ud15c\uc774 \ud638\ud658\ub418\uc9c0 \uc54a\ub294 \uc2dc\uc2a4\ud15c(IS)\uc774\ub77c\uace0 \ucd94\ub860\ud569\ub2c8\ub2e4.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b2bb3fec88cf5c6d788afb4480ab1f58_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  \\begin{array}{c} \\begin{array}{c} \\color{black}rg(A) = 2 \\\\[1.3ex] \\color{black}rg(A')=3 \\\\[1.3ex] \\color{black}\\text{N\\'umero de inc\\'ognitas} = 3 \\end{array}} \\\\ \\\\ \\color{blue} \\boxed{ \\color{black}\\phantom{^9_9} rg(A) = 2 \\ \\neq \\ rg(A') = 3 \\color{blue} \\ \\bm{\\longrightarrow} \\ \\color{black} \\bm{SI}\\phantom{^9_9}} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"426\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \ub530\ub77c\uc11c \uc5f0\ub9bd\ubc29\uc815\uc2dd\uc740 <strong>m=-1 \uc77c \ub54c \ud638\ud658\ub418\uc9c0 \uc54a\ub294 \uc5f0\ub9bd\ubc29\uc815\uc2dd\uc774\ubbc0\ub85c \ud574\uac00 \uc5c6\uc2b5\ub2c8\ub2e4<\/strong> .<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\uc774 \ud398\uc774\uc9c0\uc5d0\uc11c\ub294 \ub9e4\uac1c\ubcc0\uc218\ub97c \uc0ac\uc6a9\ud558\uc5ec \ubc29\uc815\uc2dd \uc2dc\uc2a4\ud15c\uc744 \ub17c\uc758\ud558\uace0 \ud574\uacb0\ud558\ub294 \ubc29\ubc95\uc744 \uc0b4\ud3b4\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \ub610\ud55c \uc5f0\uc2b5\ud560 \uc218 \uc788\ub294 \uc120\ud615 \ubc29\uc815\uc2dd \uc2dc\uc2a4\ud15c\uc758 \uc608\uc81c\uc640 \ud574\uacb0\ub41c \uc5f0\uc2b5\uc744 \ucc3e\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ubc18\uba74, \uc120\ud615 \ubc29\uc815\uc2dd \uc2dc\uc2a4\ud15c\uc744 \ubd84\uc11d\ud558\ub824\uba74 Cramer\uc758 \ubc95\uce59\uc774 \ubb34\uc5c7\uc778\uc9c0 , Rouch\u00e9-Frobenius \uc815\ub9ac\uac00 \ubb34\uc5c7\uc778\uc9c0 \uc544\ub294 \uac83\uc774 \uc911\uc694\ud569\ub2c8\ub2e4. \uc65c\ub0d0\ud558\uba74 \uc6b0\ub9ac\ub294 \uc774\ub97c \uc9c0\uc18d\uc801\uc73c\ub85c \uc0ac\uc6a9\ud560 \uac83\uc774\uae30 \ub54c\ubb38\uc785\ub2c8\ub2e4. \ub9e4\uac1c\ubcc0\uc218\uac00 \uc788\ub294 \uc120\ud615 \ubc29\uc815\uc2dd \uc2dc\uc2a4\ud15c\uc758 \uc608 \ub9e4\uac1c\ubcc0\uc218 m \uc744 \uae30\uc900\uc73c\ub85c &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ko\/%eb%a7%a4%ea%b0%9c%eb%b3%80%ec%88%98%ea%b0%80-%ec%9e%88%eb%8a%94-%eb%b0%a9%ec%a0%95%ec%8b%9d-%ec%8b%9c%ec%8a%a4%ed%85%9c%ec%97%90-%eb%8c%80%ed%95%9c-%ed%86%a0%eb%a1%a0\/\"> <span class=\"screen-reader-text\">\ub9e4\uac1c\ubcc0\uc218\ub97c \uc0ac\uc6a9\ud55c \ubc29\uc815\uc2dd \uc2dc\uc2a4\ud15c\uc5d0 \ub300\ud55c \ud1a0\ub860<\/span> \ub354 \ubcf4\uae30 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