Question

simplify the matrices:
$-4\left(\

$$\begin{bmatrix} 0 & 3 & 1 \\\\ -5 & -1 & 6 \\end{bmatrix}$$

• \

$$\begin{bmatrix} 6 & 4 & 5 \\\\ -4 & -4 & 0 \\end{bmatrix}$$

\
ight)$
fill in the table below that
represents the answer matrix:

Explanation:

Step1: Subtract the matrices

Subtract corresponding elements of the two matrices:

$$\begin{bmatrix} 0 - 6 & 3 - 4 & 1 - 5 \\ -5 - (-4) & -1 - (-4) & 6 - 0 \end{bmatrix} = \begin{bmatrix} -6 & -1 & -4 \\ -1 & 3 & 6 \end{bmatrix}$$

Step2: Multiply by -4

Multiply each element of the resulting matrix by -4:

$$ -4\times
LATEXBLOCK1
=
LATEXBLOCK2
=
LATEXBLOCK3
$$

Answer:

The answer matrix is

$$\begin{bmatrix} 24 & 4 & 16 \\ 4 & -12 & -24 \end{bmatrix}$$

So the table should be filled as:

24	4	16