{"id":276,"date":"2023-07-06T23:03:43","date_gmt":"2023-07-06T23:03:43","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e8%bb%a2%e7%bd%ae%e8%a1%8c%e5%88%97%e3%81%be%e3%81%9f%e3%81%af%e8%bb%a2%e7%bd%ae%e8%a1%8c%e5%88%97%e3%81%ae%e4%be%8b%e3%81%a8%e6%bc%94%e7%bf%92%e3%82%92%e8%a7%a3%e3%81%84%e3%81%9f%e3%82%82%e3%81%ae\/"},"modified":"2023-07-06T23:03:43","modified_gmt":"2023-07-06T23:03:43","slug":"%e8%bb%a2%e7%bd%ae%e8%a1%8c%e5%88%97%e3%81%be%e3%81%9f%e3%81%af%e8%bb%a2%e7%bd%ae%e8%a1%8c%e5%88%97%e3%81%ae%e4%be%8b%e3%81%a8%e6%bc%94%e7%bf%92%e3%82%92%e8%a7%a3%e3%81%84%e3%81%9f%e3%82%82%e3%81%ae","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e8%bb%a2%e7%bd%ae%e8%a1%8c%e5%88%97%e3%81%be%e3%81%9f%e3%81%af%e8%bb%a2%e7%bd%ae%e8%a1%8c%e5%88%97%e3%81%ae%e4%be%8b%e3%81%a8%e6%bc%94%e7%bf%92%e3%82%92%e8%a7%a3%e3%81%84%e3%81%9f%e3%82%82%e3%81%ae\/","title":{"rendered":"\u8ee2\u7f6e\u884c\u5217 (\u307e\u305f\u306f\u8ee2\u7f6e)"},"content":{"rendered":"<p>\u3053\u306e\u30da\u30fc\u30b8\u3067\u306f<strong>\u3001\u8ee2\u7f6e (\u307e\u305f\u306f\u8ee2\u7f6e) \u884c\u5217<\/strong>\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u884c\u5217\u3092\u8ee2\u7f6e\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u7591\u554f\u3092\u6301\u305f\u306a\u3044\u3088\u3046\u306b\u3001\u89e3\u6c7a\u6e08\u307f\u306e\u6f14\u7fd2\u3082\u8868\u793a\u3055\u308c\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u8ee2\u7f6e\u884c\u5217 (\u307e\u305f\u306f\u8ee2\u7f6e) \u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3069\u3046\u3059\u308c\u3070\u3088\u3044\u3067\u3059\u304b?<\/h2>\n<p class=\"has-background\" style=\"background-color:#dff6ff\"><strong>\u8ee2\u7f6e\u884c\u5217 \u306f<\/strong>\u3001\u8ee2\u7f6e\u884c\u5217\u3068\u3082\u547c\u3070\u308c\u3001<strong>\u884c\u3092\u5217\u306b\u5909\u66f4\u3059\u308b\u3053\u3068<\/strong>\u306b\u3088\u3063\u3066\u5f97\u3089\u308c\u308b\u884c\u5217\u3067\u3059\u3002\u8ee2\u7f6e\u884c\u5217\u306f\u884c\u5217\u306e\u53f3\u4e0a\u306b\u300ct\u300d\u3092\u4ed8\u3051\u3066\u8868\u3057\u307e\u3059\uff08A <sup>t<\/sup> \uff09\u3002<\/p>\n<p><strong>\u305f\u3068\u3048\u3070<\/strong>\u3001\u6b21\u306e\u884c\u5217\u3092\u8ee2\u7f6e\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/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-8613db3e71f21d9ee2c4dc003600e32a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A= \\begin{pmatrix} 2 &amp; 3 &amp; 1 \\\\[1.1ex] 4 &amp; 5 &amp; 0   \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"120\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u884c\u5217 A \u3092\u8ee2\u7f6e\u3059\u308b\u306b\u306f\u3001<strong>\u884c\u3054\u3068\u306b\u5217\u3092\u5909\u66f4\u3059\u308b<\/strong>\u3060\u3051\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u884c\u5217\u306e\u6700\u521d\u306e\u884c\u306f\u884c\u5217\u306e 1 \u5217\u76ee\u306b\u306a\u308a\u3001\u884c\u5217\u306e 2 \u884c\u76ee\u306f\u884c\u5217\u306e 2 \u5217\u76ee\u306b\u306a\u308a\u307e\u3059\u3002<\/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-e7cf9e274915aef7e44582556d188197_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A^t= \\begin{pmatrix} 2 &amp; 4 \\\\[1.1ex] 3 &amp; 5 \\\\[1.1ex] 1 &amp; 0   \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"103\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u8ee2\u7f6e\u884c\u5217\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5\u306e\u3044\u304f\u3064\u304b\u306e\u5b9f\u969b\u306e\u4f8b\u3092\u6b21\u306b\u793a\u3057\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u8ee2\u7f6e\u884c\u5217\u306e\u4f8b<\/h2>\n<h3 class=\"wp-block-heading\">\u4f8b1 <\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2e3a8e6d458b2d60aabcedfe33c0297a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle B= \\begin{pmatrix} 1 &amp; 5\\\\[1.1ex] 7 &amp; 2  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"96\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\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>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-321fc68b5d5d3c546461c29b80102a82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle B^t= \\begin{pmatrix} 1 &amp; 7\\\\[1.1ex] 5 &amp; 2  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"102\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u4f8b 2 <\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8295b1417a32fc9378584f87c67abc05_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C= \\begin{pmatrix} -1 &amp; 4 &amp; 3 \\\\[1.1ex] 5 &amp; 3 &amp; 2 \\\\[1.1ex] 6 &amp; 0 &amp; 9  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"137\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\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>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5274e4fc9bdc5939e3a5a08e6a8e41b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle C^t= \\begin{pmatrix} -1 &amp; 5 &amp; 6 \\\\[1.1ex] 4 &amp; 3 &amp; 0 \\\\[1.1ex] 3 &amp; 2 &amp; 9  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"143\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div class=\"adsb30\" style=\" margin:px; text-align:\"><\/div>\n<h3 class=\"wp-block-heading\">\u4f8b 3 <\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8e2d2268ed4a7fee24a06a7a7f7cd76b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle D= \\begin{pmatrix} 2 &amp; 6 &amp; -1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"126\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\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>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f1c2184833ec63a43162fde532f6e593_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle D^t= \\begin{pmatrix}2 \\\\[1.1ex] 6 \\\\[1.1ex] -1 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"94\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u4f8b 4 <\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d83760eb84d950a0d31727e522d88f5a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle E= \\begin{pmatrix} 9 &amp; 0  \\\\[1.1ex] 2 &amp; -1 \\\\[1.1ex] 5 &amp; 3   \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"112\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\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>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c01a100ebae58a267a286f88010a796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle E^t= \\begin{pmatrix} 9 &amp; 2 &amp; 5  \\\\[1.1ex] 0 &amp; -1 &amp; 3 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"140\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p>\u884c\u5217\u8ee2\u7f6e\u306e\u4f7f\u7528\u6cd5\u306e 1 \u3064\u306f<a href=\"https:\/\/mathority.org\/ja\/\u9006\u884c\u5217\/\">\u3001\u6dfb\u4ed8\u3055\u308c\u305f\u884c\u5217\u516c\u5f0f\u307e\u305f\u306f\u884c\u5217\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u9006\u884c\u5217\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068<\/a>\u3067\u3059\u3002\u3053\u306e\u65b9\u6cd5\u3092\u4f7f\u7528\u3059\u308b\u306b\u306f\u3001\u6c7a\u5b9a\u8a5e\u306e\u89e3\u304d\u65b9\u3082\u77e5\u3063\u3066\u304a\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u304c\u3001\u30ea\u30f3\u30af\u5148\u306e\u30da\u30fc\u30b8\u3067\u306f\u624b\u9806\u5168\u4f53\u306e\u8aac\u660e\u304c\u3042\u308a\u3001\u30b9\u30c6\u30c3\u30d7\u3054\u3068\u306b\u89e3\u304f\u4f8b\u3084\u6f14\u7fd2\u3082\u898b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\">\u8ee2\u7f6e\u884c\u5217\u306e\u30d7\u30ed\u30d1\u30c6\u30a3<\/h2>\n<p>\u8ee2\u7f6e\u884c\u5217\u306b\u306f\u6b21\u306e\u7279\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li><strong><span style=\"color:#1976d2;\">\u7d2f\u7a4d\u7684\u6027\u8cea:<\/span><\/strong>\u8ee2\u7f6e\u884c\u5217\u306e\u8ee2\u7f6e\u306f\u5143\u306e\u884c\u5217\u3068\u7b49\u3057\u3044\u3002<\/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-a776188cca22c35019064e846b61b4b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(A^t\\right)^t = A\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"76\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul>\n<li><strong><span style=\"color:#1976d2;\">\u5206\u914d\u7684\u6027\u8cea:<\/span><\/strong> 2 \u3064\u306e\u884c\u5217\u3092\u52a0\u7b97\u3057\u3066\u7d50\u679c\u3092\u8ee2\u7f6e\u3059\u308b\u3068\u3001\u307e\u305a\u5404\u884c\u5217\u3092\u8ee2\u7f6e\u3057\u3066\u304b\u3089\u305d\u308c\u3089\u3092\u52a0\u7b97\u3059\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002 <\/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-aff76a8cf7355ea147e7a885b034b462_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(A+B\\right)^t = A^t+B^t\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"152\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-118\"><\/div>\n<\/div>\n<ul>\n<li><strong><span style=\"color:#1976d2;\">\u7dda\u5f62\u7279\u6027 (\u884c\u5217\u306e\u7a4d):<\/span><\/strong> 2 \u3064\u306e\u884c\u5217\u3092\u4e57\u7b97\u3057\u3066\u304b\u3089\u305d\u306e\u7d50\u679c\u3092\u8ee2\u7f6e\u3059\u308b\u3053\u3068\u306f\u3001\u6700\u521d\u306b\u5404\u884c\u5217\u3092\u8ee2\u7f6e\u3057\u3066\u304b\u3089\u305d\u308c\u3089\u3092\u4e57\u7b97\u3059\u308b\u3053\u3068\u3068\u540c\u3058\u3067\u3059\u304c\u3001\u4e57\u7b97\u306e\u9806\u5e8f\u304c\u4ea4\u4e92\u306b\u306a\u308a\u307e\u3059\u3002<\/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-32a851b103c6805a1bf495dbdc04ddc1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(A\\cdot B\\right)^t = B^t\\cdot A^t\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"134\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li><strong><span style=\"color:#1976d2;\">\u7dda\u5f62 (\u5b9a\u6570) \u30d7\u30ed\u30d1\u30c6\u30a3:<\/span><\/strong>\u884c\u5217\u306e\u7a4d\u306e\u7d50\u679c\u3092\u5b9a\u6570\u3067\u8ee2\u7f6e\u3059\u308b\u3053\u3068\u306f\u3001\u3059\u3067\u306b\u8ee2\u7f6e\u3055\u308c\u305f\u884c\u5217\u306b\u5b9a\u6570\u3092\u4e57\u7b97\u3059\u308b\u3053\u3068\u3068\u540c\u3058\u3067\u3059\u3002<\/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-802c2bde61d7e419e73a5d5424661aec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(c\\cdot A\\right)^t = c\\cdot A^t\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"114\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li><strong><span style=\"color:#1976d2;\">\u5bfe\u79f0\u884c\u5217:<\/span><\/strong>\u884c\u5217\u306e\u8ee2\u7f6e\u304c\u8ee2\u7f6e\u306a\u3057\u306e\u884c\u5217\u3068\u7b49\u3057\u3044\u5834\u5408\u3001\u305d\u308c\u306f<strong>\u5bfe\u79f0\u884c\u5217\u3067\u3042\u308b\u3068\u8a00\u3044\u307e\u3059\u3002<\/strong><\/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-d15c8f7ea597b852f92fdb47dbdb8c80_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{pmatrix} 7 &amp; 1 &amp; 3 \\\\[1.1ex] 1 &amp; 4 &amp; 2 \\\\[1.1ex] 3 &amp; 2 &amp; 5  \\end{pmatrix} \\right.^t = \\begin{pmatrix} 7 &amp; 1 &amp; 3 \\\\[1.1ex] 1 &amp; 4 &amp; 2 \\\\[1.1ex] 3 &amp; 2 &amp; 5  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"89\" width=\"202\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li><strong><span style=\"color:#1976d2;\">\u975e\u5bfe\u79f0\u6027:<\/span><\/strong>\u6570\u5b66\u884c\u5217\u3092\u8ee2\u7f6e\u3059\u308b\u3068\u304d\u306b\u3001\u3059\u3079\u3066\u306e\u8981\u7d20\u306e\u7b26\u53f7\u304c\u5909\u66f4\u3055\u308c\u305f\u540c\u3058\u884c\u5217\u304c\u5f97\u3089\u308c\u308b\u5834\u5408\u3001\u305d\u308c\u306f<strong>\u975e\u5bfe\u79f0\u884c\u5217\u3067\u3059\u3002<\/strong><\/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-5fcd7cfe60e5570bb668945b81540254_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{pmatrix} 0 &amp; 2 &amp; 4 \\\\[1.1ex] -2 &amp; 0 &amp; 6 \\\\[1.1ex] -4 &amp; -6 &amp; 0  \\end{pmatrix}\\right.^t = \\begin{pmatrix} 0 &amp; -2 &amp; -4 \\\\[1.1ex] 2 &amp; 0 &amp; -6 \\\\[1.1ex] 4 &amp; 6 &amp; 0  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"89\" width=\"257\" style=\"vertical-align: 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