Question

1. $4\begin{bmatrix} 3&5\\ 4&2\\ 0&-2end{bmatrix} -\begin{bmatrix} 9&7\\ -6&5\\ 2&-3end{bmatrix}$

Explanation:

Step1: Multiply matrix by scalar 4

$$4
LATEXBLOCK2
=
LATEXBLOCK3
=
LATEXBLOCK4
$$

Step2: Subtract the second matrix

$$\begin{bmatrix} 12 & 20 \\ 16 & 8 \\ 0 & -8 \end{bmatrix} - \begin{bmatrix} 9 & 7 \\ -6 & 5 \\ 2 & -3 \end{bmatrix} = \begin{bmatrix} 12-9 & 20-7 \\ 16-(-6) & 8-5 \\ 0-2 & -8-(-3) \end{bmatrix}$$

Step3: Compute each element

$$\begin{bmatrix} 3 & 13 \\ 22 & 3 \\ -2 & -5 \end{bmatrix}$$

Answer:

$$\begin{bmatrix} 3 & 13 \\ 22 & 3 \\ -2 & -5 \end{bmatrix}$$