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Given matrices A and B, calculate their sum and select the correct option.

April 19, 2026Mathematics

ScanSolve AI Answer

Answer

\text{a. } \begin{bmatrix} 1 & 6 \\ 4 & 3 \end{bmatrix}

4 steps

To find the sum of matrices $A$ and $B$ , we add their corresponding elements.

Identify the given matrices.
$A = \begin{bmatrix} 2 & 4 \\ 1 & 3 \end{bmatrix}$ $B = \begin{bmatrix} -1 & 2 \\ 3 & 0 \end{bmatrix}$
Add the corresponding elements of matrix $A$ and matrix $B$ .
$A + B = \begin{bmatrix} 2 + (-1) & 4 + 2 \\ 1 + 3 & 3 + 0 \end{bmatrix}$
Perform the additions to find the resulting matrix.
$A + B = \begin{bmatrix} 1 & 6 \\ 4 & 3 \end{bmatrix}$
Compare the result with the given options.
The calculated sum matches option a.

The final answer is $\text{a. } \begin{bmatrix} 1 & 6 \\ 4 & 3 \end{bmatrix}$ .

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