Answer:
The product of P and Q will give:
[tex]PQ=\mleft[\begin{array}{ccc}-17 \\ -3 \\ -37 \\ 49\end{array}\mright][/tex]Explanation:
Given the following matrices:
[tex]\mleft[\begin{array}{ccc}1\text{ 2} \\ 3\text{ 0} \\ 5\text{ 4} \\ -1\text{ -6}\end{array}\mright]\text{and }\mleft[\begin{array}{ccc}-1 \\ -8\end{array}\mright][/tex]Taking the product of both matrices. We will multiply the rows of matrix P with the column matrix Q shown.
[tex]\begin{gathered} PQ=\mleft[\begin{array}{ccc}(1\times-1)+(2\times-8) \\ (3\times-1)+(0\times-8) \\ (5\times-1)+(4\times-8) \\ (-1\times-1)+(-6\times-8)\end{array}\mright] \\ PQ=\mleft[\begin{array}{ccc}-1-16 \\ -3+0 \\ -5-32 \\ 1+48\end{array}\mright] \\ \\ PQ=\mleft[\begin{array}{ccc}-17 \\ -3 \\ -37 \\ 49\end{array}\mright] \\ \end{gathered}[/tex]