Question

find \\(m + n\\).

\\m = \

$$\begin{bmatrix} 3 & 7 \\\\ 2 & 5 \\end{bmatrix}$$

\quad n = \

$$\begin{bmatrix} -3 & 2 \\\\ 4 & -1 \\end{bmatrix}$$

\\

• \\(\

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

\\)

• \\(\

$$\begin{bmatrix} 6 & 2 \\\\ 8 & -2 \\end{bmatrix}$$

\\)

Explanation:

Identify matrix dimensions

Using the Matrix Dimensions knowledge point

$$ \text{Dim}(M) = 2 \times 2, \quad \text{Dim}(N) = 2 \times 2 $$

Perform matrix addition

Using the Matrix Representation knowledge point

$$ M + N =
LATEXBLOCK0
+
LATEXBLOCK1
$$

$$ M + N =
LATEXBLOCK2
$$

$$ M + N =
LATEXBLOCK3
$$

Answer:

• **(A) \(

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

\) (Correct answer)**

• (B) \(

$$\begin{bmatrix} 6 & 2 \\ 8 & -2 \end{bmatrix}$$

\)