{"id":1968,"date":"2023-07-24T06:38:55","date_gmt":"2023-07-24T06:38:55","guid":{"rendered":"https:\/\/statorials.org\/tr\/rdeki-kimlik-matrisi\/"},"modified":"2023-07-24T06:38:55","modified_gmt":"2023-07-24T06:38:55","slug":"rdeki-kimlik-matrisi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rdeki-kimlik-matrisi\/","title":{"rendered":"R&#39;de kimlik matrisi nas\u0131l olu\u015fturulur (\u00f6rneklerle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Do\u011frusal cebirde <strong>birim matris<\/strong> , ana k\u00f6\u015fegeninde birlerin ve di\u011fer her yerde s\u0131f\u0131rlar\u0131n bulundu\u011fu bir kare matristir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kimlik matrisini R&#8217;de \u00fc\u00e7 y\u00f6ntemden birini kullanarak olu\u015fturabilirsiniz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create identity matrix using diag()\n<span style=\"color: #000000;\">diag(5)\n<\/span>\n#create identity matrix using diag() with explicit nrow argument\n<span style=\"color: #000000;\">diag(nrow= <span style=\"color: #008000;\">5<\/span> )\n<\/span>\n#create identity matrix by creating matrix of zeros, then filling diagonal with ones\n<\/span>mat &lt;- matrix(0, 5, 5)\ndiag(mat) &lt;- 1\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bu y\u00f6ntemlerin her biri ayn\u0131 sonuca yol a\u00e7ar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler bu y\u00f6ntemlerin her birinin pratikte nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: diag() kullanarak bir kimlik matrisi olu\u015fturun<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, 5 sat\u0131r ve 5 s\u00fctunlu bir kimlik matrisi olu\u015fturmak i\u00e7in <strong>diag()<\/strong> i\u015flevinin nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create 5x5 identity matrix\n<span style=\"color: #000000;\">ident &lt;- diag(5)<\/span><\/span>\n\n<span style=\"color: #008080;\">#view matrix<\/span>\nidentity\n\n     [,1] [,2] [,3] [,4] [,5]\n[1,] 1 0 0 0 0\n[2,] 0 1 0 0 0\n[3,] 0 0 1 0 0\n[4,] 0 0 0 1 0\n[5,] 0 0 0 0 1\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Sonu\u00e7, ana k\u00f6\u015fegende birlerin ve di\u011fer her yerde s\u0131f\u0131rlar\u0131n oldu\u011fu 5&#215;5&#8217;lik bir kare matristir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2:<\/strong><\/span> <span style=\"color: #000000;\"><strong>diag(nrow) kullanarak bir birim matrisi olu\u015fturun<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, 5&#215;5 birim matris olu\u015fturmak i\u00e7in diag(nrow) i\u015flevinin nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create 5x5 identity matrix\n<span style=\"color: #000000;\">ident &lt;- diag(nrow= <span style=\"color: #008000;\">5<\/span> )<\/span><\/span>\n\n<span style=\"color: #008080;\">#view matrix<\/span>\nidentity\n\n     [,1] [,2] [,3] [,4] [,5]\n[1,] 1 0 0 0 0\n[2,] 0 1 0 0 0\n[3,] 0 0 1 0 0\n[4,] 0 0 0 1 0\n[5,] 0 0 0 0 1<\/strong><\/pre>\n<h3> <strong>\u00d6rnek 3: \u0130ki ad\u0131mda birim matrisi olu\u015fturun<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, \u00f6nce tamam\u0131 s\u0131f\u0131rlardan olu\u015fan 5 \u00d7 5&#8217;lik bir matris olu\u015fturarak ve ard\u0131ndan ba\u015ftaki k\u00f6\u015fegen de\u011ferleri birimlere d\u00f6n\u00fc\u015ft\u00fcrerek 5 \u00d7 5 birim matrisin nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\">#create 5x5 matrix with zeros in all positions\n<\/span>ident &lt;- matrix(0, 5, 5)\n\n<span style=\"color: #008080;\">#make diagonal values 1\n<\/span>diag(ident) &lt;- 1\n\n<span style=\"color: #008080;\">#view matrix\n<\/span>identity\n\n     [,1] [,2] [,3] [,4] [,5]\n[1,] 1 0 0 0 0\n[2,] 0 1 0 0 0\n[3,] 0 0 1 0 0\n[4,] 0 0 0 1 0\n[5,] 0 0 0 0 1\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u00dc\u00e7 y\u00f6ntemin her birinin tam olarak ayn\u0131 kimlik matrisini \u00fcretti\u011fine dikkat edin.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki makaleler kimlik matrisine faydal\u0131 giri\u015fler sa\u011flar:<\/span><\/p>\n<p> <a href=\"https:\/\/www.khanacademy.org\/math\/precalculus\/x9e81a4f98389efdf:matrices\/x9e81a4f98389efdf:properties-of-matrix-multiplication\/a\/intro-to-identity-matrices\" target=\"_blank\" rel=\"noopener\">Khan Academy: Kimlik Matrisine Giri\u015f<\/a><br \/> <a href=\"https:\/\/en.wikipedia.org\/wiki\/Identity_matrix\" target=\"_blank\" rel=\"noopener\">Vikipedi: Kimlik Matrisinin Tam A\u00e7\u0131klamas\u0131<\/a><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki makalelerde R&#8217;de di\u011fer yayg\u0131n matris i\u015flemlerinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> R&#8217;de matris \u00e7arp\u0131m\u0131 nas\u0131l ger\u00e7ekle\u015ftirilir<br \/> <a href=\"https:\/\/statorials.org\/tr\/rde-element-bazinda-carpma\/\" target=\"_blank\" rel=\"noopener\">R&#8217;deki elemanlarla \u00e7arpma nas\u0131l yap\u0131l\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rdeki-matris-satirlarini-ciz\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de bir matrisin sat\u0131rlar\u0131 nas\u0131l \u00e7izilir<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Do\u011frusal cebirde birim matris , ana k\u00f6\u015fegeninde birlerin ve di\u011fer her yerde s\u0131f\u0131rlar\u0131n bulundu\u011fu bir kare matristir. Kimlik matrisini R&#8217;de \u00fc\u00e7 y\u00f6ntemden birini kullanarak olu\u015fturabilirsiniz: #create identity matrix using diag() diag(5) #create identity matrix using diag() with explicit nrow argument diag(nrow= 5 ) #create identity matrix by creating matrix of zeros, then filling diagonal with [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-1968","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>R&#039;de Kimlik Matrisi Nas\u0131l Olu\u015fturulur (\u00d6rneklerle) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde R&#039;de kimlik matrisinin nas\u0131l olu\u015fturulaca\u011f\u0131 birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/tr\/rdeki-kimlik-matrisi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R&#039;de Kimlik Matrisi Nas\u0131l Olu\u015fturulur (\u00d6rneklerle) - 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