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Eğitmen, matris determinantlarının hesaplanmasında kullanılan Sarrus kuralını anlatmaktadır.","Videoda öncelikle Sarrus kuralının matematiksel ispatı gösterilmekte, ardından kuralın nasıl uygulanacağı adım adım açıklanmaktadır. Eğitmen, 3x3 matrisler için Sarrus kuralının daha hızlı bir yöntem olduğunu vurgulamakta ve bir örnek üzerinden (1 2 4 -2 -1 3 -4 -1) kuralın nasıl uygulanacağını göstermektedir. 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köşegenler boyunca, negatif terimler (afh, bdi, ceg) ise ters köşegenler boyunca hesaplanır.","Bu tekniği hatırlamak için matrisin yanına ilk iki sütunun tekrar yazılması yeterlidir."]},"beginTime":154,"endTime":259,"href":"/video/preview/12320703464034832901?parent-reqid=1769667766388078-9553900232871812051-balancer-l7leveler-kubr-yp-vla-158-BAL&text=Sarrus&t=154&ask_summarization=1"},{"index":2,"title":"Sarrus Kuralının Uygulanması","list":{"type":"unordered","items":["Örnek olarak, [1 2 4; 2 -1 3; 4 -1 1] matrisinin determinantı hesaplanır.","Sarrus kuralına göre, 16 + 24 + 16 - (-16) - 3 - (-4) = 45 olarak hesaplanır.","Bu kural, 3x3 matrisin determinantını bulmak için daha hızlı bir yöntemdir ve daha önce tanıtılan yöntemle tamamen denktir."]},"beginTime":259,"endTime":392,"href":"/video/preview/12320703464034832901?parent-reqid=1769667766388078-9553900232871812051-balancer-l7leveler-kubr-yp-vla-158-BAL&text=Sarrus&t=259&ask_summarization=1"}],"linkTemplate":"/video/preview/12320703464034832901?parent-reqid=1769667766388078-9553900232871812051-balancer-l7leveler-kubr-yp-vla-158-BAL&text=Sarrus&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Sarrus Kuralı (Lineer 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Kuralı düşük boyutlu matrislerde determinat alınmasında kullanılan bir yöntemdir. 3x3 boyutlu matrisin determinant hesabında, matrisin ilk iki satırı sırasıyla matrisin altına eklenerek...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4119662/ecbfcd0aad0011d11832c22d6c5715dd/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/PsyhLwAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1769667766388078-9553900232871812051-balancer-l7leveler-kubr-yp-vla-158-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769667766388078-9553900232871812051-balancer-l7leveler-kubr-yp-vla-158-BAL&text=videoid:14930281296690711540","teaser":[{"list":{"type":"unordered","items":["Bu video, Platon Akademi'den bir eğitim içeriğidir. Bir eğitmen, 3x3 matrislerin determinant hesabında kullanılan pratik bir yöntem olan Sarus yöntemini anlatmaktadır.","Video, Sarus yönteminin sadece 3x3 matrislerde kullanılabileceğini açıklayarak başlıyor ve ardından adım adım yöntemin nasıl uygulanacağını gösteriyor. Eğitmen önce teorik bilgileri veriyor, ardından bir örnek üzerinden (A = [1 2 3; 1 1 1; 1 2 3]) yöntemin uygulamasını detaylı şekilde anlatıyor. Sarus yönteminin Kramer yönteminin 3x3 bilinmeyenli sistemlerin çözümünde destek olduğu belirtiliyor."]},"endTime":530,"title":"3x3 Matrislerin Determinant Hesabı: Sarus Yöntemi","beginTime":0}],"fullResult":[{"index":0,"title":"Sarus Yöntemi Tanıtımı","list":{"type":"unordered","items":["Sarus yöntemi, sadece 3x3 matrislerin determinant hesabında kullanılan pratik bir yöntemdir.","Bu yöntem, Kramer yönteminin 3 bilinmeyenli sistemlerin çözümünde çok kullanıldığı için destek olacak basit bir yöntemdir.","Determinant, A matrisinin determinantını gösterirken bazen sadece diskriminant sembolü (delta) ile de gösterilebilir."]},"beginTime":0,"endTime":113,"href":"/video/preview/14930281296690711540?parent-reqid=1769667766388078-9553900232871812051-balancer-l7leveler-kubr-yp-vla-158-BAL&text=Sarrus&t=0&ask_summarization=1"},{"index":1,"title":"Sarus Yönteminin Uygulanması","list":{"type":"unordered","items":["Sarus yönteminde, matrisin birinci ve ikinci satırı tekrar eklenerek matrisin altına dördüncü ve beşinci satır olarak yazılır.","Yöntemde önce sol üstteki elemanın hemen sağından başlayarak çizgiler çekilir ve bu çizgilerin arasında kalan elemanlar çarpılarak \"sağ toplam\" bulunur.","Sonra sağ üst köşedeki elemanın solundan başlayarak çizgiler çekilir ve bu çizgilerin arasında kalan elemanlar çarpılarak \"sol toplam\" bulunur."]},"beginTime":113,"endTime":314,"href":"/video/preview/14930281296690711540?parent-reqid=1769667766388078-9553900232871812051-balancer-l7leveler-kubr-yp-vla-158-BAL&text=Sarrus&t=113&ask_summarization=1"},{"index":2,"title":"Determinant Hesaplama","list":{"type":"unordered","items":["Determinant, sağ toplam eksi sol toplam olarak hesaplanır.","Örnek olarak verilen matrisin determinantı, Sarus yöntemi ile hesaplandığında 11-11=0 olarak bulunur."]},"beginTime":314,"endTime":522,"href":"/video/preview/14930281296690711540?parent-reqid=1769667766388078-9553900232871812051-balancer-l7leveler-kubr-yp-vla-158-BAL&text=Sarrus&t=314&ask_summarization=1"}],"linkTemplate":"/video/preview/14930281296690711540?parent-reqid=1769667766388078-9553900232871812051-balancer-l7leveler-kubr-yp-vla-158-BAL&text=Sarrus&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Sarrus Kurali ile 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PDF Lecture Notes: https://bit.ly/39TzC94 For more videos about mathematics: Subscribe: https://www.youtube.com/Lloth05/?sub_... You can...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/759997/034cf472912e2fb2e086ea3b3f8865c4/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/YiIFMgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1769667766388078-9553900232871812051-balancer-l7leveler-kubr-yp-vla-158-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769667766388078-9553900232871812051-balancer-l7leveler-kubr-yp-vla-158-BAL&text=videoid:16487959012870325587","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik dersi formatında olup, bir eğitmen tarafından sarus kuralı ile determinant hesaplaması anlatılmaktadır.","Video, sarus kuralının sadece 2x2 ve 3x3 tipindeki determinantları hesaplamak için kullanılabileceğini açıklayarak başlıyor. Eğitmen önce 2x2 matrisler için esas köşegenin elemanlarının çarpımı ile yedek köşegenin elemanlarının çarpımı arasındaki farkı gösteriyor, ardından 3x3 matrisler için iki farklı yöntem sunuyor: ilk iki satırı alt alta yazarak ve ilk iki satırı yan yana yazarak. Her iki yöntem de detaylı olarak açıklanıyor ve son olarak bir örnek üzerinden hesaplama yapılıyor."]},"endTime":422,"title":"Sarus Kuralı ile Determinant Hesaplama Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Sarus Kuralı Tanıtımı","list":{"type":"unordered","items":["Sarus kuralı sadece 2x2 ve 3x3 tipindeki determinantları hesaplamak için kullanılabilir.","4x4, 5x5 ve üstü matrisler için bu yöntem uygun değildir, uyarlamaya çalışıldığında sonuç yanlış gelebilir.","Farklı determinant hesaplama yöntemlerini bilmek öğrencilere fayda sağlar."]},"beginTime":1,"endTime":56,"href":"/video/preview/16487959012870325587?parent-reqid=1769667766388078-9553900232871812051-balancer-l7leveler-kubr-yp-vla-158-BAL&text=Sarrus&t=1&ask_summarization=1"},{"index":1,"title":"2x2 Determinant Hesaplama","list":{"type":"unordered","items":["2x2 matrisin determinantı, esas köşegenin elemanlarının çarpımı (a×c) ile yedek köşegen elemanlarının çarpımı (b×d) arasındaki farktır.","Sonuç, a×c - b×d formülüyle hesaplanır."]},"beginTime":56,"endTime":86,"href":"/video/preview/16487959012870325587?parent-reqid=1769667766388078-9553900232871812051-balancer-l7leveler-kubr-yp-vla-158-BAL&text=Sarrus&t=56&ask_summarization=1"},{"index":2,"title":"3x3 Determinant Hesaplama Yöntemleri","list":{"type":"unordered","items":["İlk yöntemde, 3x3 matrisin altına ilk iki satırı orantılı olarak yazılır.","Oklar üzerinden geçen elemanların çarpımları toplanır ve bu toplamlar x ve y olarak adlandırılır.","Determinant, x - y formülüyle hesaplanır."]},"beginTime":86,"endTime":208,"href":"/video/preview/16487959012870325587?parent-reqid=1769667766388078-9553900232871812051-balancer-l7leveler-kubr-yp-vla-158-BAL&text=Sarrus&t=86&ask_summarization=1"},{"index":3,"title":"İkinci 3x3 Determinant Hesaplama Yöntemi","list":{"type":"unordered","items":["İkinci yöntemde, ilk iki satır ve ilk iki sütun yan yana yazılır.","Aynı şekilde üç elemanlı çarpım grupları oluşturulur ve bu gruplar x ve y olarak adlandırılır.","Determinant, x - y formülüyle hesaplanır."]},"beginTime":208,"endTime":318,"href":"/video/preview/16487959012870325587?parent-reqid=1769667766388078-9553900232871812051-balancer-l7leveler-kubr-yp-vla-158-BAL&text=Sarrus&t=208&ask_summarization=1"},{"index":4,"title":"Örnek Hesaplama","list":{"type":"unordered","items":["Örnek matris: [1 2 3; -2 4 2; 2 2] için determinant hesaplanır.","İlk yöntemde, oklar üzerinden geçen elemanların çarpımları toplanır ve x = 20, y = 0 olarak bulunur.","Determinant, x - y = 20 - 0, yani 20 olarak 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Happy New year! 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We, at Learnon have started the JEE Mathematics Course specially for 2022, 2023 aspirants. Contact us:- Mail- learnononline@gmail.com Mobile- 9881932921 Whatsapp...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3291303/0d8f8c5e78cf6b4fc19fcc7381084406/564x318_1"},"target":"_self","position":"16","reqid":"1769667766388078-9553900232871812051-balancer-l7leveler-kubr-yp-vla-158-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D41tgPV0_ErU","linkTemplate":"/video/preview/14812917901545973988?parent-reqid=1769667766388078-9553900232871812051-balancer-l7leveler-kubr-yp-vla-158-BAL&text=Sarrus&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Sarrus rule and Window rule | Lecture 2 | IIT JEE | JEE 2023 | Atul Sir | #learnon","related_orig_text":"Sarrus","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Sarrus\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=41tgPV0_ErU\",\"src\":\"serp\",\"rvb\":\"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_8vj__QMA-AcFCAAG_QL4AAQJ-v79AOQD_AoI_QIA7fwD-gP_AAAE-AgEAAAAAAIB8vP9_gEADAb1AwMAAAAJBRD2-QAAABQF_wD-AQAA-P0JAfUCAAEEAv0EAAAAAPYE_wD__wAABQPx_AAAAAAC-_cGAAAAACAALZQ-3js4E0AJSE5QAipzEAAaYCkPAAoYAuvj3izMEdXR9xITAe_fwPP_Vb__6gfL3hmp25kQ9f84GR4VoAAAAAUg0hYYAOR48tC1-fzMBBUA3SkWfyz6_tD3L_TaIeW8ODspMxQ-QgCs-xrhLpnkD-xI-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_AABAwAAAosIAAJBBAADWQgAAgMAAAKhBAAAEwgAAgMAAAMBAAAB0wgAAGEIAADBBAADYQQAA4EAAAHTCAABUQgAA0MEAACxCAABwQQAAQMEAAMDBAAC4wQAAtkIAABxCAACowQAAmEEAABBBAAAYwgAAYEIAAHjCAAB4wgAAgEEAAKDAAABQQQAAsMEAAMBBAAAcQgAAREIAADhCAACAQAAAeMIAACBBAACSwgAA2MEgADgTQAlIdVABKo8CEAAagAIAAKi9AABwvQAAkj4AABA9AADIPQAAHD4AAOA8AAAJvwAAir4AANi9AABQPQAAHL4AAIg9AAAUPgAAFL4AAFC9AAAkPgAAMD0AAFQ-AADOPgAAfz8AAPg9AADgvAAAcD0AABA9AACYvQAAgDsAAIA7AADgPAAAkj4AACQ-AAAsvgAA2L0AAIC7AAAwPQAA2D0AABA9AADYvQAAvr4AAMi9AABwvQAAgDsAAOA8AACgvAAAMD0AAEC8AACePgAAqr4AAKC8AACKvgAA4DwAAPg9AACaPgAAUD0AACy-AABwvQAA5j4AADQ-AACAuwAAVD4AAHC9AAAcPgAAoLwAABS-IAA4E0AJSHxQASqPAhABGoACAABAPAAAmD0AAKg9AAAXvwAA2L0AAIC7AABQPQAADD4AABS-AACuPgAAoLwAAES-AADYPQAANL4AAOi9AADgvAAABD4AAD8_AAAkPgAAij4AAAw-AACIvQAAqD0AAJi9AACAuwAAyD0AAIg9AADYPQAA4DwAACw-AACAuwAAiD0AAAy-AACAOwAAJL4AAKi9AAAEPgAAHD4AAGS-AAC4vQAAPD4AAKA8AAC4PQAAUL0AAPg9AABkPgAAf78AAKA8AADYvQAAQDwAAFA9AABQPQAAyD0AAJg9AAAwvQAAcD0AAKA8AACoPQAAoLwAAEA8AACIPQAAJL4AACS-AADIvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=41tgPV0_ErU","parent-reqid":"1769667766388078-9553900232871812051-balancer-l7leveler-kubr-yp-vla-158-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14812917901545973988"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"14132351140135671840":{"videoId":"14132351140135671840","docid":"34-5-6-Z394A91BE7C55D9F4","description":"👇 • Matrices class 12 part 1,(definition,... 👉 Relations part 1 👇👇 • Relation part 2. 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