Tentukan nilai x, y, z bila A+B = C

Materi : Matriks
Bahasan : Menyelesaikan Persamaan Linear dengan Matriks

Langkah - langkah dan Jawaban :
[tex] \left[\begin{array}{ccc}3x&1&-6\\2&x-y&8\\-6&4&2z\end{array}\right] + \left[\begin{array}{ccc}-2x-1&4&-3\\3&5x-11&-5\\4&-7&3y-2\end{array}\right] = \\ \\ \left[\begin{array}{ccc}x-1&5&-9\\5&6x-y-11&3\\-2&-3&2z+3y-2\end{array}\right] = \left[\begin{array}{ccc}7&5&-9\\5&9&3\\-2&-3&-5\end{array}\right] [/tex]
⇒ x - 1 = 7
x = 7 + 1
x = 8
⇒ 6x - y - 11 = 9
6(8) - y - 11 = 9
- y = - 28
y = 28
⇒ 2z + 3y - 2 = - 5
2z + 3(28) - 2 = - 5
2z = - 87
z = - 87/2