Question

if d = \

$$\begin{bmatrix}-6 & -1\\\\-2 & 4\\\\4 & -7\\end{bmatrix}$$

and e = \

$$\begin{bmatrix}-1 & -7\\\\-3 & -1\\\\-6 & 4\\end{bmatrix}$$

, what is d - e? if the matrix exists, select its size before entering your answer. if the matrix does not exist, select undefined. d - e = \

$$\begin{bmatrix}\\square\\\\\\square\\end{bmatrix}$$

Explanation:

Step1: Check matrix dimensions

Matrix $D$ is $2 \times 2$, matrix $E$ is $2 \times 2$.

Step2: Subtract corresponding elements

$$ D-E =
LATEXBLOCK0
$$

Step3: Simplify each element

$$ D-E =
LATEXBLOCK1
=
LATEXBLOCK2
$$

Answer:

Size: $3 \times 2$
$D-E =

$$\begin{bmatrix} -5 & 6 \\ 1 & 5 \\ 10 & -11 \end{bmatrix}$$

$