Question

15.
$4\

$$\begin{bmatrix}-2 & 1 \\\\ 3 & -4\\end{bmatrix}$$

• 5\

$$\begin{bmatrix}1 & 0 \\\\ -2 & 2\\end{bmatrix}$$

$

Explanation:

Step1: Multiply first matrix by 4

$$4
LATEXBLOCK2
=
LATEXBLOCK3
=
LATEXBLOCK4
$$

Step2: Multiply second matrix by 5

$$5
LATEXBLOCK5
=
LATEXBLOCK6
=
LATEXBLOCK7
$$

Step3: Subtract the two matrices

$$\begin{bmatrix}-8&4\\12&-16\end{bmatrix} - \begin{bmatrix}5&0\\-10&10\end{bmatrix} = \begin{bmatrix}-8-5&4-0\\12-(-10)&-16-10\end{bmatrix}$$

Step4: Compute each element

$$\begin{bmatrix}-13&4\\22&-26\end{bmatrix}$$

Answer:

$$\begin{bmatrix}-13&4\\22&-26\end{bmatrix}$$