Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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

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

$A.B=\begin{pmatrix}10 & 2\\ -8 & -5\end{pmatrix}\times \begin{pmatrix}3\\ -2\end{pmatrix}\\\Rightarrow A.B=\begin{pmatrix}10\cdot \:3+2\left(-2\right)\\ \left(-8\right)\cdot \:3+\left(-5\right)\left(-2\right)\end{pmatrix}\\\Rightarrow A.B=\begin{pmatrix}26\\ -14\end{pmatrix}$

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