Question

Evaluate the product (10 2
−8 −5)
???? ???? 3
−2
????

Answer 1

`\begin{pmatrix}26\\ -14\end{pmatrix}`

Explanation:

`A=\begin{pmatrix}10 & 2\\ -8 & -5\end{pmatrix}`

`B=\begin{pmatrix}3\\ -2\end{pmatrix}`

`A.B=\begin{pmatrix}10 & 2\\ -8 & -5\end{pmatrix}* \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}`

The product of the two matrix is
`\begin{pmatrix}26\\ -14\end{pmatrix}`