Question

question 4 of 5
select the correct answer.
consider matrices a and b.
$a = \

$$\begin{bmatrix}7 & -2 & 3 \\\\ 0 & 1 & -11\\end{bmatrix}$$

$, $b = \

$$\begin{bmatrix}-3 & 2 & 6 \\\\ 9 & 0 & -4\\end{bmatrix}$$

$
if $c = 3a - 4b$, what is matrix c?
$\

$$\begin{bmatrix}9 & 2 & 33 \\\\ 36 & 3 & -49\\end{bmatrix}$$

$
these two matrices cannot be subtracted.
$\

$$\begin{bmatrix}37 & -14 & -6 \\\\ -27 & 4 & -32\\end{bmatrix}$$

$
$\

$$\begin{bmatrix}33 & -14 & -15 \\\\ -36 & 3 & -17\\end{bmatrix}$$

$

Explanation:

Step1: Calculate 3A

Multiply each element of A by 3:

$$3A = 3\times
LATEXBLOCK0
=
LATEXBLOCK1
=
LATEXBLOCK2
$$

Step2: Calculate 4B

Multiply each element of B by 4:

$$4B = 4\times
LATEXBLOCK3
=
LATEXBLOCK4
=
LATEXBLOCK5
$$

Step3: Compute 3A - 4B

Subtract corresponding elements of 4B from 3A:

$$3A - 4B =
LATEXBLOCK6
=
LATEXBLOCK7
$$

Answer:

$$\begin{bmatrix} 33 & -14 & -15 \\ -36 & 3 & -17 \end{bmatrix}$$

(the last option)