Matematika

Pertanyaan

Invers matriks A = ( -4 -5 ) adalah...
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1 Jawaban

  • 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]

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