tentukan matriks persegi X ordo 2 yang memenuh persamaan berikut : -3 1 0 -2 X = 4 -2 -2 0

Untuk menentukan matriks X, gunakan metde invers dengan langkah invers sebagai berikut:
[tex]\boxed{A= \left[\begin{array}{cc}a&b&c&d\end{array}\right]\to A^{-1}= \frac1{ad-bc}\left[\begin{array}{cc}d&-b&-c&a\end{array}\right]}[/tex]

Menggunakan sifat operasi matriks, didapat jabaran:
[tex]$\begin{align}X\left[\begin{array}{cc}-3&1&4&2\end{array}\right]&=\left[\begin{array}{cc}0&-2&-2&0\end{array}\right] \\ X&=\left[\begin{array}{cc}0&-2&-2&0\end{array}\right]\left[\begin{array}{cc}-3&1&4&2\end{array}\right]^{-1} \\ X&=\left[\begin{array}{cc}0&-2&-2&0\end{array}\right]\frac1{2}\left[\begin{array}{cc}2&-1&-4&-3\end{array}\right] \\ X&=\frac1{2}\left[\begin{array}{cc}0&-2&-2&0\end{array}\right]\left[\begin{array}{cc}2&-1&-4&-3\end{array}\right] \end{align}[/tex]

Lakukan operasi perkalian matriks hingga didapat:
[tex]$\begin{align}X&=\frac1{2}\left[\begin{array}{cc}0&-2&-2&0\end{array}\right]\left[\begin{array}{cc}2&-1&-4&-3\end{array}\right] \\ X&=\frac1{2}\left[\begin{array}{cc}8&6&-4&2\end{array}\right] \\ X&=\left[\begin{array}{cc}4&3&-2&1\end{array}\right] \end{align}[/tex]