{"id":285376,"date":"2020-11-02T22:11:26","date_gmt":"2020-11-02T15:11:26","guid":{"rendered":"https:\/\/quipperhome.wpcomstaging.com\/?p=285376"},"modified":"2020-11-02T22:11:26","modified_gmt":"2020-11-02T15:11:26","slug":"determinan-matriks-matematika-kelas-11","status":"publish","type":"post","link":"https:\/\/quipperhome.wpcomstaging.com\/mapel\/matematika\/determinan-matriks-matematika-kelas-11\/","title":{"rendered":"Determinan Matriks &#8211; Matematika Kelas 11"},"content":{"rendered":"<p><img fetchpriority=\"high\" decoding=\"async\" class=\"alignnone size-full wp-image-285396\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-a.png\" alt=\"\" width=\"800\" height=\"533\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-a.png 800w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-a-768x512.png 768w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-a-585x390.png?crop=1 585w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-a-263x175.png?crop=1 263w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-a-300x200.png 300w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Halo Quipperian, gimana <\/span><em><span style=\"font-weight: 400;\">nih<\/span><\/em><span style=\"font-weight: 400;\"> kabarnya? Masih tetap semangat menimba ilmu dari rumah, kan?<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Siapa di antara Quipperian yang pernah belajar tentang matriks? Mungkin kamu berpikir, buat apa <\/span><em><span style=\"font-weight: 400;\">sih<\/span><\/em><span style=\"font-weight: 400;\"> belajar matriks itu? Ternyata, keberadaan matriks cukup membantu para <\/span><em><span style=\"font-weight: 400;\">engineer <\/span><\/em><span style=\"font-weight: 400;\">untuk menyelesaikan masalah-masalah yang memiliki variabel cukup banyak.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Tidak hanya itu, matriks juga bisa digunakan untuk membantu menyelidiki sumber minyak bumi baru. Di artikel ini, kamu tidak akan diajarkan untuk hal-hal itu, melainkan bagaimana cara mencari nilai determinan matriks? Apa itu determinan matriks? Temukan jawabannya di artikel ini, ya.<\/span><\/p>\n<h2><strong>Pengertian Determinan Matriks<\/strong><\/h2>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-285395\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-b.png\" alt=\"\" width=\"800\" height=\"533\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-b.png 800w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-b-300x200.png 300w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-b-768x512.png 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Saat kamu belajar tentang matriks, salah satu besaran yang akan kamu pelajari adalah determinan. Determinan matriks adalah nilai yang bisa dihitung dari unsur-unsur matriks.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Determinan ini merupakan besaran skalar atau besaran yang hanya memiliki besar\/nilai. Unsur matriks yang dimaksud adalah unsur matriks persegi. Apa itu matriks persegi? Matriks persegi adalah matriks yang memiliki jumlah baris dan kolom yang sama. Misalnya, suatu matriks A adalah matriks 2 <\/span><span style=\"font-weight: 400;\">\u00d7<\/span><span style=\"font-weight: 400;\"> 2 dengan unsur sebagai berikut.<\/span><\/p>\n<p><span style=\"font-weight: 400;\"> <img decoding=\"async\" class=\"alignnone size-full wp-image-285393\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-1.png\" alt=\"\" width=\"93\" height=\"75\" \/><\/span><\/p>\n<p><span style=\"font-weight: 400;\">Nilai determinannya dinyatakan sebagai berikut.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">det A = |A| = ad \u2013 bc<\/span><\/p>\n<h2><strong>Sifat-Sifat Determinan Matriks<\/strong><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-285394\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-c.png\" alt=\"\" width=\"800\" height=\"533\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-c.png 800w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-c-300x200.png 300w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-c-768x512.png 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Adapun sifat-sifat determinan matriks adalah sebagai berikut.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-285392\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-2.png\" alt=\"\" width=\"557\" height=\"420\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-2.png 557w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-2-300x226.png 300w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-2-200x150.png?crop=1 200w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-2-326x245.png 326w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-2-80x60.png 80w\" sizes=\"(max-width: 557px) 100vw, 557px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Agar kamu semakin paham dengan konsep determinan matriks, simak contoh soal berikut.<\/span><\/p>\n<h3><strong>Contoh Soal 1<\/strong><\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-285391\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-3.png\" alt=\"\" width=\"284\" height=\"66\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Tentukan nilai dari det 3P<\/span><sup><span style=\"font-weight: 400;\">-1<\/span><\/sup><span style=\"font-weight: 400;\">Q!<\/span><\/p>\n<p><strong>Pembahasan:<\/strong><\/p>\n<p><span style=\"font-weight: 400;\">Pertama, tentukan dahulu determinan mastrik P dan Q.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Matriks P<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-285390\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-4.png\" alt=\"\" width=\"384\" height=\"72\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-4.png 384w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-4-300x56.png 300w\" sizes=\"(max-width: 384px) 100vw, 384px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Matriks Q<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-285389\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-5.png\" alt=\"\" width=\"406\" height=\"76\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-5.png 406w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-5-300x56.png 300w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-5-400x76.png 400w\" sizes=\"(max-width: 406px) 100vw, 406px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Untuk mencari determinan matriks 3P<\/span><span style=\"font-weight: 400;\">-1<\/span><span style=\"font-weight: 400;\">Q gunakan sifat matriks berikut.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">det kA<\/span><sub><span style=\"font-weight: 400;\">n<\/span><span style=\"font-weight: 400;\">\u00d7<\/span><span style=\"font-weight: 400;\">n<\/span><\/sub><span style=\"font-weight: 400;\"> = k<\/span><span style=\"font-weight: 400;\">n<\/span><span style=\"font-weight: 400;\"> det A<\/span><sub><span style=\"font-weight: 400;\">n<\/span><span style=\"font-weight: 400;\">\u00d7<\/span><span style=\"font-weight: 400;\">n<\/span><\/sub><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Dengan demikian:<\/span><\/p>\n<p><span style=\"font-weight: 400;\"> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-285388\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-6.png\" alt=\"\" width=\"214\" height=\"150\" \/><\/span><\/p>\n<p><span style=\"font-weight: 400;\">Jadi, nilai det 3P<\/span><sup><span style=\"font-weight: 400;\">-1<\/span><\/sup><span style=\"font-weight: 400;\">Q = 9.<\/span><\/p>\n<h2><strong>Determinan Matriks 3 <\/strong><strong>\u00d7<\/strong><strong> 3<\/strong><\/h2>\n<p><span style=\"font-weight: 400;\">Cara menentukan determinan matriks 3 <\/span><span style=\"font-weight: 400;\">\u00d7<\/span><span style=\"font-weight: 400;\"> 3 berbeda dengan cara menentukan determinan matriks 2 <\/span><span style=\"font-weight: 400;\">\u00d7<\/span><span style=\"font-weight: 400;\"> 2. Determinan matriks 3 <\/span><span style=\"font-weight: 400;\">\u00d7<\/span><span style=\"font-weight: 400;\"> 3 bisa ditentukan dengan dua cara, yaitu sebagai berikut:<\/span><\/p>\n<p><strong>1. Cara determinan<\/strong><\/p>\n<p><span style=\"font-weight: 400;\">Adapun cara determinan untuk matriks 3 <\/span><span style=\"font-weight: 400;\">\u00d7<\/span><span style=\"font-weight: 400;\"> 3 bisa kamu lihat di contoh berikut ini.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-285387\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-7.png\" alt=\"\" width=\"518\" height=\"214\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-7.png 518w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-7-300x124.png 300w\" sizes=\"(max-width: 518px) 100vw, 518px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Agar kamu semakin paham, simak contoh soal berikut ini.<\/span><\/p>\n<h3><strong>Contoh Soal 2<\/strong><\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-285386\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-8.png\" alt=\"\" width=\"377\" height=\"87\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-8.png 377w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-8-300x69.png 300w\" sizes=\"(max-width: 377px) 100vw, 377px\" \/><\/p>\n<p><strong>Pembahasan:<\/strong><\/p>\n<p><span style=\"font-weight: 400;\">Determinan matriks tersebut bisa ditentukan dengan cara berikut.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-285385\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-9.png\" alt=\"\" width=\"294\" height=\"136\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Jadi, determinan matriks S di atas adalah 36.<\/span><\/p>\n<p><strong>2. Cara Sarrus<\/strong><\/p>\n<p><span style=\"font-weight: 400;\">Cara sarrus ini adalah cara yang paling mudah untuk mencari determinan matriks 3 <\/span><span style=\"font-weight: 400;\">\u00d7<\/span><span style=\"font-weight: 400;\"> 3. Adapun langkah-langkah yang harus kamu perhatikan adalah sebagai berikut.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Semua unsur matriks yang berada di 2 kolom pertama, kamu salin ke kolom paling belakang (kolom 4) dengan tanpa mengubah urutan kolomnya, ya.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Lakukan operasi perkalian menyilang untuk 3 unsur ke arah kanan bawah, lalu jumlahkan hasilnya. Sebut saja hasilnya sebagai KA.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Lakukan operasi perkalian menyilang untuk 3 unsur ke arah kiri bawah, lalu jumlahkan hasilnya. Sebut saja hasilnya sebagai KI.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Secara matematis, determinan matriks 3 <\/span><span style=\"font-weight: 400;\">\u00d7<\/span><span style=\"font-weight: 400;\"> 3 dinyatakan sebagai berikut.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">det A = KA \u2013 KI.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Perhatikan contoh soal berikut.<\/span><\/p>\n<h3><strong>Contoh Soal 3<\/strong><\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-285384\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-10.png\" alt=\"\" width=\"529\" height=\"83\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-10.png 529w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-10-300x47.png 300w\" sizes=\"(max-width: 529px) 100vw, 529px\" \/><\/p>\n<p><strong>Pembahasan:<\/strong><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Salin semua unsur yang berada di 2 kolom pertama ke kolom 4.<\/span><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-285383\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-11.png\" alt=\"\" width=\"138\" height=\"95\" \/><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Lakukan operasi perkalian menyilang untuk 3 unsur ke arah kanan bawah.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-285382\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-12.png\" alt=\"\" width=\"168\" height=\"112\" \/>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">KA = 0 + (-12) + 18 = 6<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Lakukan operasi perkalian menyilang untuk 3 unsur ke arah kiri bawah.<\/span><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-285381\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-13.png\" alt=\"\" width=\"159\" height=\"90\" \/><\/p>\n<p><span style=\"font-weight: 400;\">KI = -24 + (-6) + 0 = -30<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Dengan demikian, hasil det S menggunakan cara sarrus adalah<\/span><\/p>\n<p><span style=\"font-weight: 400;\">det S = KA \u2013 KI = 6 <\/span><span style=\"font-weight: 400;\">\u2212<\/span><span style=\"font-weight: 400;\"> (<\/span><span style=\"font-weight: 400;\">\u2212<\/span><span style=\"font-weight: 400;\">30) = 36.<\/span><span style=\"font-weight: 400;\">\u00a0<\/span><\/p>\n<h2><strong>Penerapan Determinan Matriks pada Sistem Persamaan Linear<\/strong><\/h2>\n<p><span style=\"font-weight: 400;\">Sistem persamaan linear dua peubah (SPLDP) dan sistem persamaan linear tiga peubah (SPLTP) bisa dicari solusinya menggunakan aturan determinan. Perhatikan rumus berikut.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Untuk SPLDP:<\/span><\/p>\n<p><span style=\"font-weight: 400;\"> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-285380\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-14.png\" alt=\"\" width=\"568\" height=\"226\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-14.png 568w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-14-300x119.png 300w\" sizes=\"(max-width: 568px) 100vw, 568px\" \/><\/span><\/p>\n<p><span style=\"font-weight: 400;\">Untuk SPLTP:<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-285379\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-15.png\" alt=\"\" width=\"593\" height=\"414\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-15.png 593w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-15-300x209.png 300w\" sizes=\"(max-width: 593px) 100vw, 593px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Jangan bingung ya, untuk mencari solusi SPLTP menggunakan determinan matriks memang agak rumit, tetapi mudah <\/span><em><span style=\"font-weight: 400;\">kok<\/span><\/em><span style=\"font-weight: 400;\">. Ini dia contoh soalnya!<\/span><\/p>\n<h3><strong>Contoh Soal 4<\/strong><\/h3>\n<p><span style=\"font-weight: 400;\">Tentukan solusi SPLTP berikut menggunakan metode determinan.<\/span><\/p>\n<p><em><span style=\"font-weight: 400;\">x<\/span><\/em><span style=\"font-weight: 400;\"> + <\/span><em><span style=\"font-weight: 400;\">y<\/span><\/em><span style=\"font-weight: 400;\"> \u2013 z = -4<\/span><\/p>\n<p><span style=\"font-weight: 400;\">2<\/span><em><span style=\"font-weight: 400;\">x<\/span><\/em><span style=\"font-weight: 400;\"> + 4<\/span><em><span style=\"font-weight: 400;\">y<\/span><\/em><span style=\"font-weight: 400;\"> + 2<\/span><em><span style=\"font-weight: 400;\">z<\/span><\/em><span style=\"font-weight: 400;\"> = 10<\/span><\/p>\n<p><em><span style=\"font-weight: 400;\">x<\/span><\/em><span style=\"font-weight: 400;\"> + 3<\/span><em><span style=\"font-weight: 400;\">y<\/span><\/em><span style=\"font-weight: 400;\"> + <\/span><em><span style=\"font-weight: 400;\">z<\/span><\/em><span style=\"font-weight: 400;\"> = 4<\/span><\/p>\n<p><strong>Pembahasan:<\/strong><\/p>\n<p><span style=\"font-weight: 400;\">Sistem persamaan liner tiga peubah di atas bisa dituliskan dalam bentuk\u00a0 matriks sebagai berikut.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-285378\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-16.png\" alt=\"\" width=\"369\" height=\"432\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-16.png 369w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/11\/Determinan-Matriks-16-256x300.png 256w\" sizes=\"(max-width: 369px) 100vw, 369px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Jadi, solusi persamaan linear tiga peubah di atas adalah (2, -1, 5).<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Bagaimana Quipperian, sudah paham kan sekilas materi tentang determinan matriks di atas? Semoga bermanfaat, ya. Jangan lupa untuk tetap belajar meskipun di rumah saja. Persiapkan dirimu untuk sebelum menghadapi PAS.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Agar penguasaan materi PASmu semakin lancar, yuk gabung bersama <\/span><a href=\"https:\/\/subscribe.quipper.com\/signup\/id\"><strong>Quipper Video<\/strong><\/a><span style=\"font-weight: 400;\"> karena di dalamnya menyediakan latihan soal PAS yang cukup beragam dan bisa kamu kerjakan kapanpun. Salam Quipper!<\/span><\/p>\n<p><span style=\"font-weight: 400;\">[spoiler title=SUMBER]<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><a href=\"https:\/\/id.wikipedia.org\/wiki\/Determinan\"><span style=\"font-weight: 400;\">https:\/\/id.wikipedia.org\/<\/span><\/a><\/li>\n<li style=\"font-weight: 400;\"><a href=\"https:\/\/learn.quipper.com\/\"><span style=\"font-weight: 400;\">https:\/\/learn.quipper.com\/<\/span><\/a><\/li>\n<li style=\"font-weight: 400;\"><a href=\"http:\/\/ismail_muchsin.staff.gunadarma.ac.id\/Downloads\/files\/43890\/Determinan+Matriks.pdf\"><span style=\"font-weight: 400;\">http:\/\/ismail_muchsin.staff.gunadarma.ac.id\/<\/span><\/a><\/li>\n<li style=\"font-weight: 400;\"><a href=\"http:\/\/file.upi.edu\/Direktori\/FPMIPA\/JUR._PEND._MATEMATIKA\/KHUSNUL_NOVIANIGSIH\/DETERMINAN.pdf\"><span style=\"font-weight: 400;\">http:\/\/file.upi.edu\/<\/span><\/a><span style=\"font-weight: 400;\">[\/spoiler]<\/span><\/li>\n<\/ul>\n<p><strong>Penulis: Eka Viandari<\/strong><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Halo Quipperian, gimana nih kabarnya? Masih tetap semangat menimba ilmu dari rumah, kan? Siapa di antara Quipperian yang pernah belajar tentang matriks? Mungkin kamu&hellip;<\/p>\n","protected":false},"author":99400369,"featured_media":285396,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_monsterinsights_skip_tracking":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_wpcom_ai_launchpad_first_post":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[679384888,679384865],"tags":[],"ppma_author":[679386827],"class_list":["post-285376","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mapel","category-matematika"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Determinan Matriks - Matematika Kelas 11 - Quipper Blog<\/title>\n<meta name=\"description\" content=\"Determinan matriks adalah nilai yang bisa dihitung dari unsur-unsur matriks.\u00a0Seperti apa pembahasan lengkapnya? 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