Question

Calculate the product matrix for the following matrix multiplication.

Answer 1

Answer:

$\large\boxed{\left[\begin{array}{ccc}43&6\\-70&-33\end{array}\right] }$

Step-by-step explanation:

$\left[\begin{array}{ccc}8&3\\-7&2\end{array}\right] \cdot\left[\begin{array}{ccc}8&3\\-7&-6\end{array}\right] \\\\=\left[\begin{array}{ccc}(8)(8)+(3)(-7)&(8)(3)+(3)(-6)\\(-7)(8)+(2)(-7)&(-7)(3)+(2)(-6)\end{array}\right] \\\\=\left[\begin{array}{ccc}43&6\\-70&-33\end{array}\right]$