jika diketahui x [ 2 3 1 2 ] = [ 1 16 12 4 ] maka matriks X adalah

Penyelesaian:

Misalkan x = matriks [tex] \left[\begin{array}{cc}a&b\\c&d\end{array}\right] [/tex]

= [tex] \left[\begin{array}{cc}a&b\\c&d\end{array}\right] . \left[\begin{array}{cc}2&3\\1&2\end{array}\right] = \left[\begin{array}{cc}1&16\\12&4\end{array}\right] [/tex]

lakukan perkalian matriks lalu eliminasi, didapatkan hasil:
2a + b = 1           |x2
3a + 2b = 16       |x1

a = -14 ; b = 29

2c + d = 12         |x2
3c + 2d = 4         |x1

c = 20
d = -28

Maka matriks X yang tepat adalah [tex] \left[\begin{array}{cc}-14&29\\20&-28\end{array}\right] [/tex]