{"id":5611,"date":"2016-05-01T01:59:30","date_gmt":"2016-04-30T23:59:30","guid":{"rendered":"http:\/\/www.ilkkimbuldu.com\/?p=5611"},"modified":"2017-01-01T02:38:07","modified_gmt":"2017-01-01T00:38:07","slug":"matrisi-kim-buldu","status":"publish","type":"post","link":"https:\/\/www.ilkkimbuldu.com\/?p=5611","title":{"rendered":"Matrisi kim buldu"},"content":{"rendered":"<p>Matematikte <b>matris<\/b> veya <b>dizey<\/b>, dikd\u00f6rtgen bir say\u0131lar tablosu veya daha genel bir a\u00e7\u0131klamayla, toplanabilir veya \u00e7arp\u0131labilir soyut miktarlar tablosudur. Dizeyler daha \u00e7ok do\u011frusal denklemleri tan\u0131mlamak, do\u011frusal d\u00f6n\u00fc\u015f\u00fcmlerde (lineer transformasyon) \u00e7arpanlar\u0131n takibi ve iki parametreye ba\u011fl\u0131 verilerin kaydedilmesi amac\u0131yla kullan\u0131l\u0131rlar. Dizeylerin toplanabilir, \u00e7\u0131kart\u0131labilir, \u00e7arp\u0131labilir, b\u00f6l\u00fcnebilir ve ayr\u0131\u015ft\u0131r\u0131labilir olmalar\u0131, do\u011frusal cebir ve dizey kuram\u0131n\u0131n temel kavram\u0131 olmalar\u0131n\u0131 sa\u011flam\u0131\u015ft\u0131r.<\/p>\n<p>Do\u011frusal denklemler sistemlerinin \u00e7\u00f6z\u00fclmesi i\u00e7in matris kavramlar\u0131n\u0131n kullan\u0131lmas\u0131n\u0131n \u00e7ok uzun bir tarihi bulunmaktad\u0131r. Do\u011frusal denklemler sistemlerin ilk matris kullanarak a\u00e7\u0131klan\u0131p \u00e7\u00f6z\u00fclmesi, \u00f6zellikle kare matrislerle ifade edilip determinant kullan\u0131m\u0131 dahil, M\u00d6.300 ile MS.200 aras\u0131nda yaz\u0131lm\u0131\u015f olan <i>Jiu Zhang Suan Shu<\/i> (Matematik Sanatinda Dokuz B\u00f6l\u00fcm) adl\u0131 eserde bulundu\u011fu anla\u015f\u0131lm\u0131\u015ft\u0131r. Bu eserden Bat\u0131 Avrupa matematik\u00e7ileri hi\u00e7 haberdar olmam\u0131\u015flard\u0131r.<\/p>\n<p>Bundan sonra matris kavram\u0131 2000 y\u0131l kadar sonra 1683&#8217;de &#8220;Seki Kowa&#8221; adl\u0131 Japon matematik\u00e7isi ve Bat\u0131 Avrupa&#8217;da ilk defa 1693 de Alman matematik\u00e7isi <strong>Leibniz<\/strong> taraf\u0131ndan ortaya at\u0131lm\u0131\u015f ve ilk determinant kullanarak pratik \u00e7\u00f6z\u00fcm olarak Cramer&#8217;in kural\u0131 1750&#8217;de <strong>Gabriel Cramer<\/strong> taraf\u0131ndan g\u00f6sterilmi\u015ftir.<\/p>\n<p>Matris teorisinin Bat\u0131 Avrupa&#8217;da geli\u015ftirilmesi daha \u00e7ok determinant kavram\u0131na \u00f6nem vermekteydi. Determinanttan ba\u011f\u0131ms\u0131z olarak matris matemati\u011finin geli\u015ftirilmesi 1858&#8217;de Arthur Cayley taraf\u0131ndan <i>Memoir on the theory of matrices (Matris teorisi hakk\u0131nda bir not)<\/i> ad\u0131nda eserle ba\u015flam\u0131\u015ft\u0131r. <b>Matris<\/b> terimi isim olarak ilk defa J.J.Syvester adl\u0131 \u0130ngiliz matematik\u00e7isi taraf\u0131ndan kullan\u0131lm\u0131\u015ft\u0131r. Bu matematik\u00e7i determinantlar\u0131 a\u00e7\u0131p say\u0131sal de\u011ferlerini bulmak i\u00e7in s\u00fctun ve sat\u0131rlar\u0131 silip gittik\u00e7e daha k\u00fc\u00e7\u00fck determinant (minor) elde ederek bu sonuca bulma \u00fczerinde u\u011fra\u015f\u0131 g\u00f6stermi\u015f ve sanki bir ana determinanttan gittik\u00e7e k\u00fc\u00e7\u00fclen &#8220;\u00e7ocuk&#8221; determinantlar\u0131n bulunmas\u0131ndan ilham alarak \u015fimdi <i>matris<\/i> olarak adland\u0131rd\u0131\u011f\u0131m\u0131z kavrama Latince k\u00f6kten <i>mater<\/i> (anne) s\u00f6zc\u00fc\u011f\u00fcnden \u00e7\u0131kard\u0131\u011f\u0131 <i>matrix<\/i> ad\u0131n\u0131 vermi\u015ftir.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Matematikte matris veya dizey, dikd\u00f6rtgen bir say\u0131lar tablosu veya daha genel bir a\u00e7\u0131klamayla, toplanabilir veya \u00e7arp\u0131labilir soyut miktarlar tablosudur. Dizeyler daha \u00e7ok do\u011frusal denklemleri tan\u0131mlamak, do\u011frusal d\u00f6n\u00fc\u015f\u00fcmlerde (lineer transformasyon) \u00e7arpanlar\u0131n&#8230;<\/p>\n","protected":false},"author":1,"featured_media":5612,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[92,14],"tags":[2311,2308,2309,2312,2310,924,2307],"class_list":["post-5611","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-bilim","category-egitim","tag-arthur-cayley","tag-determinant","tag-dogrusal-denklemler","tag-gabriel-cramer","tag-j-j-syvester","tag-leibniz","tag-matris"],"_links":{"self":[{"href":"https:\/\/www.ilkkimbuldu.com\/index.php?rest_route=\/wp\/v2\/posts\/5611"}],"collection":[{"href":"https:\/\/www.ilkkimbuldu.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ilkkimbuldu.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ilkkimbuldu.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ilkkimbuldu.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5611"}],"version-history":[{"count":4,"href":"https:\/\/www.ilkkimbuldu.com\/index.php?rest_route=\/wp\/v2\/posts\/5611\/revisions"}],"predecessor-version":[{"id":7950,"href":"https:\/\/www.ilkkimbuldu.com\/index.php?rest_route=\/wp\/v2\/posts\/5611\/revisions\/7950"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.ilkkimbuldu.com\/index.php?rest_route=\/wp\/v2\/media\/5612"}],"wp:attachment":[{"href":"https:\/\/www.ilkkimbuldu.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5611"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ilkkimbuldu.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5611"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ilkkimbuldu.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5611"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}