Question

question 19 points 2

if \\(a = \

$$\begin{bmatrix} 3 & 7 \\\\ 8 & -5 \\end{bmatrix}$$

\\) and \\(b = \

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

\\), then find \\(a + b\\).

\\(\circ \

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

\\)

\\(\circ \

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

\\)

Explanation:

Identify the matrices and operation

Using the Matrix Addition knowledge point

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

We need to find \(A + B\).

Perform element-wise addition

Using the Matrix Addition knowledge point

$$ A + B =
LATEXBLOCK2
=
LATEXBLOCK3
$$

Answer:

• **(A) \(

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

\) (Correct answer)**

• (B) \(

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

\)