Question

1. which of the following matrices is equal to \\(\

$$\begin{bmatrix} 9 & 2 \\\\ -4 & 1 \\end{bmatrix}$$

+ \

$$\begin{bmatrix} -6 & 8 \\\\ 7 & 6 \\end{bmatrix}$$

\\)?

f. \\(\

$$\begin{bmatrix} -40 & 84 \\\\ 31 & -26 \\end{bmatrix}$$

\\)

g. \\(\

$$\begin{bmatrix} 3 & 10 \\\\ 3 & 7 \\end{bmatrix}$$

\\)

h. \\(\

$$\begin{bmatrix} 3 & 10 \\\\ 11 & 7 \\end{bmatrix}$$

\\)

j. \\(\

$$\begin{bmatrix} 11 & 2 \\\\ -3 & 13 \\end{bmatrix}$$

\\)

Explanation:

Identify the given matrices

$$ A =
LATEXBLOCK0
, \quad B =
LATEXBLOCK1
$$

Add corresponding elements

$$ A + B =
LATEXBLOCK2
$$

Simplify the resulting matrix

$$ A + B =
LATEXBLOCK3
$$

Answer:

• F. \(

$$\begin{bmatrix} -40 & 84 \\ 31 & -26 \end{bmatrix}$$

\)

• **G. \(

$$\begin{bmatrix} 3 & 10 \\ 3 & 7 \end{bmatrix}$$

\) (Correct answer)**

• H. \(

$$\begin{bmatrix} 3 & 10 \\ 11 & 7 \end{bmatrix}$$

\)

• J. \(

$$\begin{bmatrix} 11 & 2 \\ -3 & 13 \end{bmatrix}$$

\)