Jika matriks A= (2 4) bawah (1 3) maka A invers 1

Materi : Matrik
Bahasan : Invers Matrik
Jawaban : [tex]A^{-1} = \left[\begin{array}{ccc} \frac{3}{2} &-2\\- \frac{1}{2} &1\end{array}\right][/tex]

Langkah - Langkah :
[tex] A^{-1} = \frac{1}{det(A)}adj(A) \\ \\ A = \left[\begin{array}{ccc}2&4\\1&3\end{array}\right] \\ \\ Adj(A) = \left[\begin{array}{ccc}3&-4\\-1&2\end{array}\right] \\ \\ det(A) = 6 - 4 = 2 \\ \\ A^{-1} = \frac{1}{2}\left[\begin{array}{ccc}3&-4\\-1&2\end{array}\right] \\ \\ A^{-1} = \left[\begin{array}{ccc} \frac{3}{2} &-2\\- \frac{1}{2} &1\end{array}\right][/tex]