Question

Dadas as matrizes

A= |-1 -3|
|6 7|

B = |0 -4|
|1 -1|

Determine a matriz X, de modo que:
X + 3B = A - B​

Answer 1

$X + 3 \cdot \left[\begin{array}{cc}0&-4\\1&-1\end{array}\right] = \left[\begin{array}{cc}-1&-3\\6&7\end{array}\right] - \left[\begin{array}{cc}0&-4\\1&-1\end{array}\right]\\\\X + \left[\begin{array}{cc}0&-12\\3&-3\end{array}\right] = \left[\begin{array}{cc}-1&1\\5&8\end{array}\right]\\\\X = \left[\begin{array}{cc}-1&1\\5&8\end{array}\right] - \left[\begin{array}{cc}0&-12\\3&-3\end{array}\right]\\X = \left[\begin{array}{cc}-1&13\\2&11\end{array}\right]$