{"id":758,"date":"2026-10-03T15:24:27","date_gmt":"2026-10-03T14:24:27","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/determinant-toplami\/"},"modified":"2026-10-03T15:24:27","modified_gmt":"2026-10-03T14:24:27","slug":"determinant-toplami","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/matematik\/determinant-toplami\/","title":{"rendered":"Determinant Toplam\u0131 Hesaplama"},"content":{"rendered":"<p><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\">Determinant Toplam\u0131 \u00c7\u00f6z\u00fcc\u00fcs\u00fc<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"758\" data-favorite-title=\"Determinant Toplam\u0131\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/matematik\/determinant-toplami\/\" data-favorite-excerpt=\"\u0130ki kare matrisin (2 \u00d7 2 veya 3 \u00d7 3) elemanlar\u0131n\u0131 girin; bu hesaplama arac\u0131 her bir determinant\u0131 ve bunlar\u0131n toplam\u0131 |A| + |B| de\u011ferini an\u0131nda, ad\u0131m ad\u0131m form\u00fcllerle a\u00e7\u0131klamal\u0131 olarak bulur.\" 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\/determinant-toplami\/\" method=\"POST\" class=\"calculator\" id=\"calculator-758\" data-post=\"758\"><fieldset class=\"fieldset-input\"><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\">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><div class=\"is-single field\" id=\"input-12\"><span class=\"font-semibold\">B Matrisi<\/span><\/div><div class=\"field\" id=\"input-13\"><label for=\"field-13\">b\u2081\u2081<\/label><input type=\"number\" name=\"b\" id=\"field-13\" step=\"any\" value=\"1\"\/><\/div><div class=\"field\" id=\"input-14\"><label for=\"field-14\">b\u2081\u2082<\/label><input type=\"number\" name=\"b\" id=\"field-14\" step=\"any\" value=\"0\"\/><\/div><div class=\"field\" id=\"input-15\" hidden><label for=\"field-15\">b\u2081\u2083<\/label><input type=\"number\" name=\"b\" id=\"field-15\" step=\"any\" value=\"0\"\/><\/div><div class=\"field\" id=\"input-16\"><label for=\"field-16\">b\u2082\u2081<\/label><input type=\"number\" name=\"b\" id=\"field-16\" step=\"any\" value=\"0\"\/><\/div><div class=\"field\" id=\"input-17\"><label for=\"field-17\">b\u2082\u2082<\/label><input type=\"number\" name=\"b\" id=\"field-17\" step=\"any\" value=\"1\"\/><\/div><div class=\"field\" id=\"input-18\" hidden><label for=\"field-18\">b\u2082\u2083<\/label><input type=\"number\" name=\"b\" id=\"field-18\" step=\"any\" value=\"0\"\/><\/div><div class=\"field\" id=\"input-19\" hidden><label for=\"field-19\">b\u2083\u2081<\/label><input type=\"number\" name=\"b\" id=\"field-19\" step=\"any\" value=\"0\"\/><\/div><div class=\"field\" id=\"input-20\" hidden><label for=\"field-20\">b\u2083\u2082<\/label><input type=\"number\" name=\"b\" id=\"field-20\" step=\"any\" value=\"0\"\/><\/div><div class=\"field\" id=\"input-21\" hidden><label for=\"field-21\">b\u2083\u2083<\/label><input type=\"number\" name=\"b\" id=\"field-21\" step=\"any\" value=\"1\"\/><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"758\">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> Sonu\u00e7lar\u0131n\u0131z<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>|A|<\/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 class=\"field-result\" id=\"output-2\"><span class=\"field-title\"><span>|B|<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/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 class=\"field-result\" id=\"output-3\"><span class=\"field-title\"><span>|A| + |B|<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/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=\"758\" 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><br \/>\n<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\">Determinant Toplam\u0131 \u2013 Hesaplama \u00d6rne\u011fi<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"758\" data-favorite-title=\"Determinant Toplam\u0131\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/matematik\/determinant-toplami\/\" data-favorite-excerpt=\"\u0130ki kare matrisin (2 \u00d7 2 veya 3 \u00d7 3) elemanlar\u0131n\u0131 girin; bu hesaplama arac\u0131 her bir determinant\u0131 ve bunlar\u0131n toplam\u0131 |A| + |B| de\u011ferini an\u0131nda, ad\u0131m ad\u0131m form\u00fcllerle a\u00e7\u0131klamal\u0131 olarak bulur.\" 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\/determinant-toplami\/\" method=\"POST\" class=\"calculator\" id=\"calculator-758\" data-post=\"758\"><fieldset class=\"fieldset-input\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">\u0130lk kredi tutar\u0131<\/label><div class=\"term\">L1<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"lk_kredi_tutar\" id=\"field-1\" aria-describedby=\"calc-unit-1 calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"100000\"\/><div class=\"unit\" id=\"calc-unit-1\">$<\/div><small id=\"calc-info-1\">\u0130lk kredinin tutar\u0131n\u0131 girin<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-2\">\u0130lk kredi faiz oran\u0131<\/label><div class=\"term\">r1<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"lk_kredi_faiz_oran\" id=\"field-2\" aria-describedby=\"calc-unit-2 calc-info-2\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" max=\"100\" value=\"4\"\/><div class=\"unit\" id=\"calc-unit-2\">%<\/div><small id=\"calc-info-2\">\u0130lk kredinin faiz oran\u0131n\u0131 girin<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">\u0130kinci kredi tutar\u0131<\/label><div class=\"term\">L2<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"kinci_kredi_tutar\" id=\"field-3\" aria-describedby=\"calc-unit-3 calc-info-3\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"50000\"\/><div class=\"unit\" id=\"calc-unit-3\">$<\/div><small id=\"calc-info-3\">\u0130kinci kredinin tutar\u0131n\u0131 girin<\/small><\/div><div class=\"field has-term\" id=\"input-4\"><label for=\"field-4\">\u0130kinci kredi faiz oran\u0131<\/label><div class=\"term\">r2<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"kinci_kredi_faiz_oran\" id=\"field-4\" aria-describedby=\"calc-unit-4 calc-info-4\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" max=\"100\" value=\"6\"\/><div class=\"unit\" id=\"calc-unit-4\">%<\/div><small id=\"calc-info-4\">\u0130kinci kredinin faiz oran\u0131n\u0131 girin<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"758\">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> Sonu\u00e7lar\u0131n\u0131z<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Karma Faiz Oran\u0131<\/span><\/span><span class=\"field-value\" id=\"result-1\" data-unit=\"%\"><\/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=\"758\" 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><\/p>\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>Determinant Toplam\u0131 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\\[ |A| + |B| = \\det(A) + \\det(B) \\]\n\\[ \\det\\!\\begin{bmatrix} a &amp; b \\\\ c &amp; d \\end{bmatrix} = ad - bc \\]\n\\[ \\det\\!\\begin{bmatrix} a_{11} &amp; a_{12} &amp; a_{13} \\\\ a_{21} &amp; a_{22} &amp; a_{23} \\\\ a_{31} &amp; a_{32} &amp; a_{33} \\end{bmatrix} = a_{11}(a_{22}a_{33} - a_{23}a_{32}) - a_{12}(a_{21}a_{33} - a_{23}a_{31}) + a_{13}(a_{21}a_{32} - a_{22}a_{31}) \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Burada:<\/strong><\/p>\n<ul>\n<li>\\(A\\) ve \\(B\\) \u2014 ayn\u0131 boyutta kare matrisler (2 \u00d7 2 veya 3 \u00d7 3)<\/li>\n<li>\\(\\det(A)\\), \\(|A|\\) olarak yaz\u0131l\u0131r \u2014 \\(A\\) matrisinin determinant\u0131<\/li>\n<li>\\(\\det(B)\\), \\(|B|\\) olarak yaz\u0131l\u0131r \u2014 \\(B\\) matrisinin determinant\u0131<\/li>\n<\/ul>\n<p>\u0130lk sat\u0131r i\u015flemin kendisini ifade eder: her determinant ba\u011f\u0131ms\u0131z olarak hesaplan\u0131r ve ard\u0131ndan elde edilen iki skaler sonu\u00e7 toplan\u0131r. \u0130kinci ve \u00fc\u00e7\u00fcnc\u00fc sat\u0131rlar, tek bir determinant\u0131n 2 \u00d7 2 ve 3 \u00d7 3 matrisler i\u00e7in nas\u0131l hesapland\u0131\u011f\u0131n\u0131 g\u00f6sterir (birinci sat\u0131r boyunca kofakt\u00f6r a\u00e7\u0131l\u0131m\u0131).<\/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>Determinant Toplam\u0131 \u2013 Hesaplama \u00d6rne\u011fi<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> hesaplama arac\u0131n\u0131n varsay\u0131lan de\u011ferleriyle iki 3 \u00d7 3 matris:<\/p>\n<p>\\[ A = \\begin{bmatrix} 1 &amp; 2 &amp; 3 \\\\ 4 &amp; 5 &amp; 6 \\\\ 7 &amp; 8 &amp; 9 \\end{bmatrix}, \\quad B = \\begin{bmatrix} 1 &amp; 0 &amp; 0 \\\\ 0 &amp; 1 &amp; 0 \\\\ 0 &amp; 0 &amp; 1 \\end{bmatrix} \\]<\/p>\n<p>\\[ \\det(A) = 1(5 \\cdot 9 - 6 \\cdot 8) - 2(4 \\cdot 9 - 6 \\cdot 7) + 3(4 \\cdot 8 - 5 \\cdot 7) = 1(-3) - 2(-6) + 3(-3) = -3 + 12 - 9 = 0 \\]<\/p>\n<p>\\[ \\det(B) = 1(1 \\cdot 1 - 0 \\cdot 0) - 0(0 \\cdot 1 - 0 \\cdot 0) + 0(0 \\cdot 0 - 1 \\cdot 0) = 1 \\]<\/p>\n<p>\\[ |A| + |B| = 0 + 1 = 1 \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> \\(\\det(A) = 0\\), \\(\\det(B) = 1\\) ve determinantlar\u0131n toplam\u0131 \\(1\\). \\(A\\) matrisinin tekil (sat\u0131rlar\u0131 do\u011frusal ba\u011f\u0131ml\u0131) oldu\u011funa, determinant\u0131n\u0131n bu y\u00fczden s\u0131f\u0131r oldu\u011funa dikkat edin.<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplama Arac\u0131 Nas\u0131l Kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li>En \u00fcstteki a\u00e7\u0131l\u0131r men\u00fcden <strong>Matris Boyutunu<\/strong> se\u00e7in \u2014 2 \u00d7 2 veya 3 \u00d7 3. 3 \u00d7 3 alanlar\u0131 otomatik olarak g\u00f6r\u00fcn\u00fcr veya gizlenir.<\/li>\n<li><strong>A Matrisinin<\/strong> elemanlar\u0131n\u0131 a\u2081\u2081'den a\u2083\u2083'e kadar etiketli alanlara girin (sat\u0131r sat\u0131r).<\/li>\n<li><strong>B Matrisinin<\/strong> elemanlar\u0131n\u0131 b\u2081\u2081'den b\u2083\u2083'e kadar etiketli alanlara girin.<\/li>\n<li>Sonu\u00e7lar an\u0131nda g\u00fcncellenir: <strong>|A|<\/strong>, <strong>|B|<\/strong> ve toplam <strong>|A| + |B|<\/strong>.<\/li>\n<\/ol>\n<h2>Determinantlar\u0131n Toplam\u0131 Nedir?<\/h2>\n<p>Determinant, bir kare matristen hesaplanan tek bir say\u0131d\u0131r. Matrisin temsil etti\u011fi do\u011frusal d\u00f6n\u00fc\u015f\u00fcm\u00fcn \u00f6nemli \u00f6zelliklerini kodlar: d\u00f6n\u00fc\u015f\u00fcm\u00fcn tersinir olup olmad\u0131\u011f\u0131n\u0131, alanlar\u0131 veya hacimleri nas\u0131l \u00f6l\u00e7ekledi\u011fini ve uzay\u0131 nas\u0131l y\u00f6nlendirdi\u011fini. S\u0131f\u0131r determinant, matrisin tekil oldu\u011fu anlam\u0131na gelir \u2014 uzay\u0131 \u00e7\u00f6kertir ve tersi yoktur.<\/p>\n<p>Determinantlar\u0131n toplam\u0131, yaln\u0131zca \\(\\det(A) + \\det(B)\\) skaler toplama i\u015flemidir. Her matris kendi ba\u015f\u0131na de\u011ferlendirilir ve yaln\u0131zca elde edilen iki say\u0131 birle\u015ftirilir. Bu, do\u011frusal cebir derslerinde yayg\u0131n bir al\u0131\u015ft\u0131rmad\u0131r ve birka\u00e7 matrisin determinantlar\u0131n\u0131n bir araya getirilmesi gereken ispatlarda ve form\u00fcllerde kar\u015f\u0131m\u0131za \u00e7\u0131kar \u2014 \u00f6rne\u011fin do\u011frusal ba\u011f\u0131ml\u0131l\u0131k kontrol\u00fcnde, blok matris ifadelerinin de\u011ferlendirilmesinde veya karakteristik polinomlar\u0131n birle\u015ftirilmesinde.<\/p>\n<p>Kritik bir nokta: <strong>determinantlar\u0131n toplam\u0131, genel olarak toplam\u0131n determinant\u0131na e\u015fit de\u011fildir<\/strong>. Sembollerle, hemen hemen her durumda \\(\\det(A + B) \\neq \\det(A) + \\det(B)\\). Determinant do\u011frusal olmayan, \u00e7arp\u0131msal bir fonksiyondur \u2014 \\(\\det(AB) = \\det(A)\\,\\det(B)\\) e\u015fitli\u011fini sa\u011flar (bunu <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/determinant-carpimi\/\">Determinant \u00c7arp\u0131m\u0131<\/a> hesaplama arac\u0131m\u0131zla do\u011frulayabilirsiniz) \u2014 ancak matris toplamas\u0131 \u00fczerine da\u011f\u0131lmaz. \\(A + B\\)'nin determinant\u0131na ihtiyac\u0131n\u0131z varsa, \u00f6nce matrisleri <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/matris-toplama\/\">Matris Toplama<\/a> hesaplama arac\u0131yla eleman eleman toplay\u0131n, ard\u0131ndan sonucun determinant\u0131n\u0131 hesaplay\u0131n.<\/p>\n<p>Sonucu yorumlamak kolayd\u0131r: <strong>|A|<\/strong> ve <strong>|B|<\/strong> iki ayr\u0131 determinantt\u0131r ve <strong>|A| + |B|<\/strong> bunlar\u0131n ola\u011fan aritmetik toplam\u0131d\u0131r; bu de\u011fer pozitif, negatif veya s\u0131f\u0131r olabilir. Toplam\u0131n s\u0131f\u0131r olmas\u0131, matrislerden birinin tekil oldu\u011fu anlam\u0131na gelmez \u2014 bir determinant basit\u00e7e di\u011ferini iptal etmi\u015f olabilir.<\/p>\n<h2>Varsay\u0131mlar, S\u0131n\u0131rlamalar ve \u0130pu\u00e7lar\u0131<\/h2>\n<ul>\n<li><strong>Yaln\u0131zca ayn\u0131 boyutta kare matrisler.<\/strong> Determinantlar yaln\u0131zca kare matrisler i\u00e7in tan\u0131ml\u0131d\u0131r ve bu ara\u00e7 2 \u00d7 2 ve 3 \u00d7 3 girdileri kabul eder. \u0130ki matrisin ba\u015fka bir \u015fekilde ili\u015fkili olmas\u0131 gerekmez.<\/li>\n<li><strong>\u0130\u015faretler \u00f6nemlidir.<\/strong> Determinant negatif olabilir. \u0130ki sat\u0131r\u0131 veya iki s\u00fctunun yerini de\u011fi\u015ftirmek i\u015fareti ters \u00e7evirir, bu y\u00fczden de\u011ferleri hangi s\u0131rayla girdi\u011finizi iki kez kontrol edin (\u00f6nce sat\u0131r, sonra s\u00fctun: a\u2082\u2081, 2. sat\u0131r, 1. s\u00fctundur).<\/li>\n<li><strong>Yuvarlama.<\/strong> Hesaplama arac\u0131 g\u00f6r\u00fcnt\u00fclenen sonu\u00e7lar\u0131 yuvarlar; bu nedenle \u00e7ok b\u00fcy\u00fck elemanlar veya \u00e7ok say\u0131da ondal\u0131k basama\u011f\u0131 olan say\u0131lar g\u00f6sterilen \u00e7\u0131kt\u0131da bir miktar hassasiyet kaybedebilir.<\/li>\n<li><strong>Tekil matrisler.<\/strong> Bir determinant 0 \u00e7\u0131karsa, matrisin tersi yoktur ve sat\u0131rlar\u0131 (ve s\u00fctunlar\u0131) do\u011frusal ba\u011f\u0131ml\u0131d\u0131r. B\u00f6yle bir matrisi daha ayr\u0131nt\u0131l\u0131 incelemek i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/3x3-matris-rank-hesaplama\/\">3\u00d73 Matrisin Rank\u0131<\/a> hesaplama arac\u0131n\u0131 veya <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/3x3-matris-tersi\/\">3\u00d73 Ters Matris<\/a> hesaplama arac\u0131n\u0131 deneyin.<\/li>\n<li><strong>\u00c7\u0131karma m\u0131 gerekiyor?<\/strong> \\(\\det(A) - \\det(B)\\) fark\u0131 i\u00e7in ikinci matris olarak \\(-B\\) girebilirsiniz; \u00e7\u00fcnk\u00fc 3 \u00d7 3 i\u00e7in \\(\\det(-B) = -\\det(B)\\) (ve daha genel olarak bir \\(n \\times n\\) matris i\u00e7in \\(\\det(-B) = (-1)^n\\det(B)\\)). Eleman eleman matris \u00e7\u0131karma i\u015flemi <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/matris-cikarma\/\">\u0130ki Matrisin \u00c7\u0131kar\u0131lmas\u0131<\/a> hesaplama arac\u0131m\u0131z taraf\u0131ndan kar\u015f\u0131lan\u0131r.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u0130ki kare matrisin (2 \u00d7 2 veya 3 \u00d7 3) elemanlar\u0131n\u0131 girin; bu hesaplama arac\u0131 her bir determinant\u0131 ve bunlar\u0131n toplam\u0131 |A| + |B| de\u011ferini an\u0131nda, ad\u0131m ad\u0131m form\u00fcllerle a\u00e7\u0131klamal\u0131 olarak bulur.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[8],"tags":[54],"class_list":["post-758","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\/758","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=758"}],"version-history":[{"count":5,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/758\/revisions"}],"predecessor-version":[{"id":3652,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/758\/revisions\/3652"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=758"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=758"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=758"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}