Question

Determine os valores de X,Y,Z e W de modo que:
$\left[\begin{array}{ccc}X&Y\\Z&W\end{array}\right] - \left[\begin{array}{ccc}7&3\\-1&4\end{array}\right] = \left[\begin{array}{ccc}3&8\\6&-1\end{array}\right]$

Answer 1

$\begin{vmatrix}X&Y\\Z&W\end{vmatrix}- \begin{vmatrix}7&3\\-1&4\end{vmatrix}= \begin{vmatrix}3&8\\6&-1\end{vmatrix}$

$\mathsf{X-7=3\to~X=3+7=10}$

$\mathsf{Y-3=8\to~Y=3+8=11}$

$\mathsf{Z+1=6\to~Z=6-1=5}$

$\mathsf{W-4=-1\to~W=4-1=3}$