Question

simplify the matrices:
$-3\left(\

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

• \

$$\begin{bmatrix} 0 & 6 \\\\ 2 & 5 \\\\ 4 & -1 \\end{bmatrix}$$

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

Explanation:

Step1: Subtract the matrices

First, subtract the second matrix from the first matrix inside the parentheses. For each element, we do \( a_{ij}-b_{ij} \).

$$
LATEXBLOCK0
=
LATEXBLOCK1
$$

Step2: Multiply by -3

Now, multiply each element of the resulting matrix by -3.

$$ -3\times
LATEXBLOCK2
=
LATEXBLOCK3
=
LATEXBLOCK4
$$

Answer:

The answer matrix is \(

$$\begin{bmatrix}0 & 36 \\ 6 & 30 \\ -3 & -21\end{bmatrix}$$

\), so the table should be filled as:

0	36
-3	-21