{"id":4016,"date":"2026-10-14T23:28:02","date_gmt":"2026-10-14T22:28:02","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/matematik\/matris-devrigi-hesaplama\/"},"modified":"2026-10-14T23:28:02","modified_gmt":"2026-10-14T22:28:02","slug":"matris-devrigi-hesaplama","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/matematik\/matris-devrigi-hesaplama\/","title":{"rendered":"Matris Devri\u011fi Hesaplama Arac\u0131"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Sat\u0131r ve S\u00fctunlar\u0131n Yer De\u011fi\u015ftirilmesiyle Matris Devri\u011fini Bulma<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"4016\" data-favorite-title=\"Matris Devri\u011fi\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/matematik\/matris-devrigi-hesaplama\/\" data-favorite-excerpt=\"2 \u00d7 2 veya 3 \u00d7 3 bir matrisin elemanlar\u0131n\u0131 girin; hesaplama arac\u0131 sat\u0131r ve s\u00fctunlar\u0131 yer de\u011fi\u015ftirerek devrik matris A\u1d40&#039;i tablo h\u00e2linde an\u0131nda hesaplar.\" aria-label=\"Favorilere ekle\" data-favorite-icon=\"icon icon-algebra\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/tr\/matematik\/matris-devrigi-hesaplama\/\" method=\"POST\" class=\"calculator\" id=\"calculator-4016\" data-post=\"4016\"><fieldset class=\"fieldset-input is-3\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"field is-single\" id=\"input-1\"><label for=\"field-1\">Matris boyutu<\/label><div class=\"grid grid-cols-1\"><select id=\"field-1\" name=\"matris_boyutu\"><option value=\"2\">2 \u00d7 2<\/option><option value=\"3\" selected>3 \u00d7 3<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"is-single field\" id=\"input-2\"><span class=\"font-semibold\">A matrisi<\/span><\/div><div class=\"field\" id=\"input-3\"><label for=\"field-3\">a\u2081\u2081<\/label><input type=\"number\" name=\"a\" id=\"field-3\" step=\"any\" value=\"1\"\/><\/div><div class=\"field\" id=\"input-4\"><label for=\"field-4\">a\u2081\u2082<\/label><input type=\"number\" name=\"a\" id=\"field-4\" step=\"any\" value=\"2\"\/><\/div><div class=\"field\" id=\"input-5\" hidden><label for=\"field-5\">a\u2081\u2083<\/label><input type=\"number\" name=\"a\" id=\"field-5\" step=\"any\" value=\"3\"\/><\/div><div class=\"field\" id=\"input-6\"><label for=\"field-6\">a\u2082\u2081<\/label><input type=\"number\" name=\"a\" id=\"field-6\" step=\"any\" value=\"4\"\/><\/div><div class=\"field\" id=\"input-7\"><label for=\"field-7\">a\u2082\u2082<\/label><input type=\"number\" name=\"a\" id=\"field-7\" step=\"any\" value=\"5\"\/><\/div><div class=\"field\" id=\"input-8\" hidden><label for=\"field-8\">a\u2082\u2083<\/label><input type=\"number\" name=\"a\" id=\"field-8\" step=\"any\" value=\"6\"\/><\/div><div class=\"field\" id=\"input-9\" hidden><label for=\"field-9\">a\u2083\u2081<\/label><input type=\"number\" name=\"a\" id=\"field-9\" step=\"any\" value=\"7\"\/><\/div><div class=\"field\" id=\"input-10\" hidden><label for=\"field-10\">a\u2083\u2082<\/label><input type=\"number\" name=\"a\" id=\"field-10\" step=\"any\" value=\"8\"\/><\/div><div class=\"field\" id=\"input-11\" hidden><label for=\"field-11\">a\u2083\u2083<\/label><input type=\"number\" name=\"a\" id=\"field-11\" step=\"any\" value=\"9\"\/><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"4016\">Hesapla<\/button><button type=\"reset\">S\u0131f\u0131rla<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Otomatik hesapla<\/label><small>Etkinle\u015ftirilirse, herhangi bir de\u011feri de\u011fi\u015ftirdi\u011finizde sonu\u00e7 otomatik olarak g\u00fcncellenir.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Devrik Matris (A\u1d40)<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>Devrik A\u1d40 matrisi<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Bu hesaplaman\u0131n ba\u011flant\u0131s\u0131n\u0131 kopyala<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Yorum b\u0131rak<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"4016\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">Bu sonu\u00e7 hakk\u0131nda ne d\u00fc\u015f\u00fcn\u00fcyorsunuz?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Be\u011fendim <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Faydal\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Kafam kar\u0131\u015ft\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Hayal k\u0131r\u0131kl\u0131\u011f\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Hatal\u0131 <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Matris Devri\u011fi Form\u00fcl\u00fc<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Form\u00fcl<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[\n\\begin{aligned}\nA &amp;= \\begin{bmatrix} a_{11} &amp; a_{12} &amp; \\cdots &amp; a_{1n} \\\\ a_{21} &amp; a_{22} &amp; \\cdots &amp; a_{2n} \\\\ \\vdots &amp; \\vdots &amp; \\ddots &amp; \\vdots \\\\ a_{n1} &amp; a_{n2} &amp; \\cdots &amp; a_{nn} \\end{bmatrix}, \\quad\nA^{T} = \\begin{bmatrix} a_{11} &amp; a_{21} &amp; \\cdots &amp; a_{n1} \\\\ a_{12} &amp; a_{22} &amp; \\cdots &amp; a_{n2} \\\\ \\vdots &amp; \\vdots &amp; \\ddots &amp; \\vdots \\\\ a_{1n} &amp; a_{2n} &amp; \\cdots &amp; a_{nn} \\end{bmatrix} \\\\[8pt]\n&amp;\\left( A^{T} \\right)_{ij} = a_{ji}\n\\end{aligned}\n\\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Burada:<\/strong><\/p>\n<ul>\n<li>\\(a_{ij}\\) \u2014 \\(A\\) matrisinin \\(i\\). sat\u0131r ve \\(j\\). s\u00fctunundaki eleman<\/li>\n<li>\\(A^{T}\\) \u2014 \\(A\\)'n\u0131n devri\u011fi; \\(i\\). sat\u0131r ve \\(j\\). s\u00fctunundaki eleman, \\(A\\)'n\u0131n \\(j\\). sat\u0131r ve \\(i\\). s\u00fctunundaki elemana e\u015fittir<\/li>\n<li>\\(n\\) \u2014 sat\u0131r ve s\u00fctun say\u0131s\u0131 (kare matris i\u00e7in 2 veya 3)<\/li>\n<\/ul>\n<p>Form\u00fcl\u00fcn anlatmak istedi\u011fi \u015fu: bir matrisi devirirken onu ana k\u00f6\u015fegeni boyunca aynalamak gerekir; \\(A\\)'n\u0131n her sat\u0131r\u0131 \\(A^{T}\\)'nin bir s\u00fctunu, her s\u00fctunu da bir sat\u0131r olur.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Matris Devri\u011fi \u2013 \u00c7\u00f6z\u00fcml\u00fc \u00d6rnek<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> elemanlar\u0131 1'den 9'a kadar olan ve sat\u0131r sat\u0131r dizilmi\u015f 3 \u00d7 3 matrisi devirin.<\/p>\n<p>\\[ A = \\begin{bmatrix} 1 &amp; 2 &amp; 3 \\\\ 4 &amp; 5 &amp; 6 \\\\ 7 &amp; 8 &amp; 9 \\end{bmatrix} \\]<\/p>\n<p>Sat\u0131r ve s\u00fctunlar\u0131 yer de\u011fi\u015ftirin: birinci s\u00fctun \\((1, 4, 7)\\) birinci sat\u0131r, ikinci s\u00fctun \\((2, 5, 8)\\) ikinci sat\u0131r, \u00fc\u00e7\u00fcnc\u00fc s\u00fctun \\((3, 6, 9)\\) ise \u00fc\u00e7\u00fcnc\u00fc sat\u0131r olur.<\/p>\n<p>\\[ A^{T} = \\begin{bmatrix} 1 &amp; 4 &amp; 7 \\\\ 2 &amp; 5 &amp; 8 \\\\ 3 &amp; 6 &amp; 9 \\end{bmatrix} \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> devrik matris \\(A^{T} = \\begin{bmatrix} 1 &amp; 4 &amp; 7 \\\\ 2 &amp; 5 &amp; 8 \\\\ 3 &amp; 6 &amp; 9 \\end{bmatrix}\\)'dir.<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplama arac\u0131 nas\u0131l kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li><strong>Matris boyutu<\/strong> a\u00e7\u0131l\u0131r men\u00fcs\u00fcnden <strong>2 \u00d7 2<\/strong> ya da <strong>3 \u00d7 3<\/strong> se\u00e7in \u2014 eleman giri\u015f alanlar\u0131 otomatik olarak buna g\u00f6re d\u00fczenlenir.<\/li>\n<li><strong>A matrisinin<\/strong> g\u00f6r\u00fcn\u00fcr t\u00fcm alanlar\u0131n\u0131 (a\u2081\u2081, a\u2081\u2082 ve di\u011ferlerini) kendi matrisinizin elemanlar\u0131yla, sat\u0131r sat\u0131r ilerleyerek doldurun. Alt indis, eleman\u0131n konumunu g\u00f6sterir: a\u2081\u2082, 1. sat\u0131r ve 2. s\u00fctun demektir.<\/li>\n<li><strong>Devrik matris A\u1d40<\/strong> ba\u015fl\u0131\u011f\u0131 alt\u0131ndaki sonucu okuyun: sat\u0131r ve s\u00fctunlar\u0131 yer de\u011fi\u015ftirilmi\u015f tablo h\u00e2linde g\u00f6r\u00fcn\u00fcr.<\/li>\n<\/ol>\n<p>T\u00fcm alanlar\u0131 varsay\u0131lan de\u011ferlerinde b\u0131rak\u0131rsan\u0131z (1'den 9'a kadar elemanlarla dolu 3 \u00d7 3 matris) sonu\u00e7 yukar\u0131daki \u00e7\u00f6z\u00fcml\u00fc \u00f6rnekle ayn\u0131 olur; b\u00f6ylece her \u015feyin beklendi\u011fi gibi \u00e7al\u0131\u015ft\u0131\u011f\u0131n\u0131 do\u011frulayabilirsiniz.<\/p>\n<h2>Matrisin devri\u011fi nedir?<\/h2>\n<p>\\(A\\) matrisinin devri\u011fi, \\(A^{T}\\) (kimi zaman \\(A'\\)) olarak yaz\u0131l\u0131r ve her sat\u0131r\u0131 s\u00fctuna, her s\u00fctunu sat\u0131ra \u00e7evirerek elde edilir. G\u00f6rsel olarak bu, matrisin ana k\u00f6\u015fegenine g\u00f6re \u2014 sol \u00fcst k\u00f6\u015feden sa\u011f alt k\u00f6\u015feye uzanan k\u00f6\u015fegene g\u00f6re \u2014 aynalanmas\u0131d\u0131r. Ana k\u00f6\u015fegen \u00fczerindeki elemanlar olduklar\u0131 yerde kal\u0131r; geri kalan her \u015fey ayna g\u00f6r\u00fcnt\u00fcs\u00fcndeki konuma ta\u015f\u0131n\u0131r.<\/p>\n<p>Devirme i\u015flemi yaln\u0131zca mekanik bir i\u015flem gibi g\u00f6r\u00fcnse de asl\u0131nda ger\u00e7ek bir anlam ta\u015f\u0131r. Veri analizinde sat\u0131rlarda denekler, s\u00fctunlarda de\u011fi\u015fkenler bulunan bir \u00f6l\u00e7\u00fcm tablosu devrildikten sonra sat\u0131rlarda de\u011fi\u015fkenler, s\u00fctunlarda denekler bulunan bir tabloya d\u00f6n\u00fc\u015f\u00fcr. Bilgisayar grafiklerinde sat\u0131r vekt\u00f6r\u00fc ile s\u00fctun vekt\u00f6r\u00fc g\u00f6sterimleri aras\u0131nda ge\u00e7i\u015f yaparken devriklerle kar\u015f\u0131la\u015f\u0131l\u0131r. \u0130statistikte ise devrik, kovaryans matrisinin ve \\(A^{T}A\\) gibi ifadeler arac\u0131l\u0131\u011f\u0131yla en k\u00fc\u00e7\u00fck kareler regresyonunun temel yap\u0131 ta\u015flar\u0131ndan biridir.<\/p>\n<p>Sonucu yorumlamak kolayd\u0131r: \u00e7\u0131kt\u0131n\u0131n birinci sat\u0131r\u0131n\u0131 girdinin birinci s\u00fctunuyla kar\u015f\u0131la\u015ft\u0131r\u0131n \u2014 ikisi birebir ayn\u0131 olmal\u0131d\u0131r. Ayn\u0131ysa devrik do\u011frudur. Kare matrislerde ayr\u0131ca kullan\u0131\u015fl\u0131 bir \u00f6zellikten yararlanabilirsiniz: devri\u011fin devri\u011fi, matrisin kendisine e\u015fittir: \\((A^{T})^{T} = A\\).<\/p>\n<p>Dikkat edilmesi gereken iki \u00f6zel durum vard\u0131r. \\(A^{T} = A\\) ise matrise <strong>simetrik<\/strong> denir; k\u00f6\u015fegenine g\u00f6re okundu\u011funda ayn\u0131 g\u00f6r\u00fcn\u00fcr. \\(A^{T} = -A\\) ise matris <strong>ters simetriktir (antisimetriktir)<\/strong> ve bu durum k\u00f6\u015fegendeki t\u00fcm elemanlar\u0131n s\u0131f\u0131r olmas\u0131n\u0131 gerektirir. Simetrik bir matris girip (\u00f6rne\u011fin birinci sat\u0131ra 1, 2, 3 ve ikinci sat\u0131ra 2, 4, 5) \u00e7\u0131kt\u0131n\u0131n girdiyle ayn\u0131 oldu\u011funu kontrol edin.<\/p>\n<h2>\u00d6zellikler, varsay\u0131mlar ve ipu\u00e7lar\u0131<\/h2>\n<ul>\n<li><strong>Yaln\u0131zca kare matrisler.<\/strong> Bu hesaplama arac\u0131 2 \u00d7 2 ve 3 \u00d7 3 matrislerle \u00e7al\u0131\u015f\u0131r. Devirme i\u015fleminin kendisi her dikd\u00f6rtgen matris i\u00e7in tan\u0131ml\u0131d\u0131r \u2014 2 \u00d7 3 bir matrisin devri\u011fi 3 \u00d7 2 olur \u2014 ancak buradaki giri\u015f alanlar\u0131 kare bi\u00e7im varsayar.<\/li>\n<li><strong>Temel cebirsel kurallar.<\/strong> Devirme i\u015flemi toplamaya uyumludur: \\((A + B)^{T} = A^{T} + B^{T}\\); \u00e7arp\u0131mda ise s\u0131ray\u0131 tersine \u00e7evirir: \\((AB)^{T} = B^{T}A^{T}\\). Skalerle \u00e7arpma ile de uyumludur: \\((cA)^{T} = cA^{T}\\).<\/li>\n<li><strong>Her ger\u00e7ek say\u0131 kabul edilir.<\/strong> Pozitif, negatif, ondal\u0131kl\u0131 veya s\u0131f\u0131r de\u011ferler girebilirsiniz. Sonu\u00e7lar g\u00f6sterim i\u00e7in iki ondal\u0131k basama\u011fa yuvarlan\u0131r; bu y\u00fczden daha fazla ondal\u0131k basama\u011f\u0131 olan de\u011ferler biraz k\u0131salt\u0131lm\u0131\u015f g\u00f6r\u00fcnebilir.<\/li>\n<li><strong>\u0130\u015faret gelene\u011fine dikkat edin.<\/strong> Devrik, matrisin tersi de\u011fildir; karma\u015f\u0131k matrisler i\u00e7in kullan\u0131lan <em>karma\u015f\u0131k e\u015flenik devrik<\/em> de de\u011fildir (orada sanal k\u0131s\u0131mlar\u0131n i\u015faretleri de de\u011fi\u015ftirilir \u2014 <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/karmasik-eslenik\/\">karma\u015f\u0131k e\u015flenik<\/a> alman\u0131n matris kar\u015f\u0131l\u0131\u011f\u0131).<\/li>\n<\/ul>\n<p>\u0130lgili konular\u0131 ke\u015ffediyorsan\u0131z, <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/sihirli-kare-uretici\/\">b\u00fcy\u00fcc\u00fc karesi<\/a> e\u011flenceli bir simetrik-tipi matris bulmacas\u0131d\u0131r; do\u011frusal denklem sistemlerini \u00e7\u00f6zmek i\u00e7in kullan\u0131lan <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/yok-etme-yontemi\/\">elemine y\u00f6ntemi<\/a> ise matrislerin ve elemanlar\u0131n\u0131n sat\u0131r sat\u0131r i\u015flendi\u011fi bir ba\u015fka aland\u0131r.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>2 \u00d7 2 veya 3 \u00d7 3 bir matrisin elemanlar\u0131n\u0131 girin; hesaplama arac\u0131 sat\u0131r ve s\u00fctunlar\u0131 yer de\u011fi\u015ftirerek devrik matris A\u1d40'i tablo h\u00e2linde an\u0131nda hesaplar.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[8],"tags":[54],"class_list":["post-4016","post","type-post","status-publish","format-standard","hentry","category-matematik","tag-matris"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/4016","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/comments?post=4016"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/4016\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=4016"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=4016"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=4016"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}