Question

1. subtract the following matrices.

$-2\

$$\begin{bmatrix}0 & 4\\\\ -3 & 1\\end{bmatrix}$$

• 4\

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

$

Explanation:

Step1: Multiply first matrix by -2

$$\begin{bmatrix} -2 \times 0 & -2 \times 4 \\ -2 \times (-3) & -2 \times 1 \end{bmatrix} = \begin{bmatrix} 0 & -8 \\ 6 & -2 \end{bmatrix}$$

Step2: Multiply second matrix by 4

$$\begin{bmatrix} 4 \times 2 & 4 \times 1 \\ 4 \times (-4) & 4 \times (-2) \end{bmatrix} = \begin{bmatrix} 8 & 4 \\ -16 & -8 \end{bmatrix}$$

Step3: Subtract the two matrices

$$\begin{bmatrix} 0 - 8 & -8 - 4 \\ 6 - (-16) & -2 - (-8) \end{bmatrix}$$

Step4: Compute each element

$$\begin{bmatrix} -8 & -12 \\ 6 + 16 & -2 + 8 \end{bmatrix} = \begin{bmatrix} -8 & -12 \\ 22 & 6 \end{bmatrix}$$

Answer:

$$\begin{bmatrix} -8 & -12 \\ 22 & 6 \end{bmatrix}$$