Answer:
[tex]\begin{pmatrix}26\\ -14\end{pmatrix}[/tex]
Step-by-step explanation:
[tex]A=\begin{pmatrix}10 & 2\\ -8 & -5\end{pmatrix}[/tex]
[tex]B=\begin{pmatrix}3\\ -2\end{pmatrix}[/tex]
[tex]A.B=\begin{pmatrix}10 & 2\\ -8 & -5\end{pmatrix}\times \begin{pmatrix}3\\ -2\end{pmatrix}\\\Rightarrow A.B=\begin{pmatrix}10\cdot \:3+2\left(-2\right)\\ \left(-8\right)\cdot \:3+\left(-5\right)\left(-2\right)\end{pmatrix}\\\Rightarrow A.B=\begin{pmatrix}26\\ -14\end{pmatrix}[/tex]
The product of the two matrix is [tex]\begin{pmatrix}26\\ -14\end{pmatrix}[/tex]
