Cramer Rule for Solving Linear Equation System
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Transcript of Cramer Rule for Solving Linear Equation System
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Cramer Rule for Solving
System of Linear Equation
Astrid Dara Putri Sutejo
(3215133260)Citra Media Pertiwi
(3215136356)
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Cramer’s Rule
• Aturan Cramer hanya dapatdigunakan pada matriks bujursangkar (m n!
• Aturan Cramer dapat digunakan jikadet A ≠ 0
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Solusi dengan Cramer’sRule
• "engan#
" det A
"i det matriks A dengan mengubah kolom ke$i
dengan konstanta b%& b'& &bn
A x = b
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)en*ari "eterminan
• +anda , digunakan untuk jumlahtransposisinya bernilai genap dantanda $ digunakan saat jumlahtransposisinya ganjil
• -mumnya& jumlah term darideterminan mtriks n.n adalah n/
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Contoh Soal
• Sistem 0ersamaan Linear#
. , 'y , 12 $ 3 %4
'. , 5y , 62 $ 73 7
6. , 'y , '2 $ 3 $'
8. , 6y $ 2 $ '3 6
9erapa nilai .& y 2 dan 3:
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• ;a3ab#
A . b
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"engan metode ekspansi baris pertama& hitung#
% "eterminan A
" det
" %($81! $ '($
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' "eterminan A%
". det
". %4($81! $ '($
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1 "eterminan A'
"y det
"y %($
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6 "eterminan A1
"2 det
"2 %(%='! $ '(118! , %4(78! , %($
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5 "eterminan A6
"3 det
"3 %($%%6! $ '($''7! , 1($
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• )en*ari nilai .& y& 2 dan 3
• >asilnya#
