Invers matriks A = ( -4 -5 ) adalah... ( 2 3 )
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Pertanyaan
Invers matriks A = ( -4 -5 ) adalah...
( 2 3 )
( 2 3 )
1 Jawaban
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1. Jawaban ahreumlim
A = [tex] \left[\begin{array}{cc}-4&-5\\2&3\end{array}\right] [/tex]
det(A) = -12 - (-10) = -2
Adj(A) = [tex]\left[\begin{array}{cc}3&5\\-2&-4\end{array}\right][/tex]
Invers(A) = 1/det(A) . Adj(A)
= [tex] -\frac{1}{2} \left[\begin{array}{cc}3&5\\-2&-4\end{array}\right]\\=\left[\begin{array}{cc}- \frac{3}{2} &- \frac{5}{2} \\1&2\end{array}\right][/tex]