https://file.aiquickdraw.com/mathbot/file/1726548676338wlmj58qm.jpg

The image shows two matrices, \( A = \begin{bmatrix} 2 & 3 \\ 1 & 4 \end{bmatrix} \) and \( B = \begin{bmatrix} 1 & 2 \\ 5 & 6 \end{bmatrix} \), and the question asks for the result of \( A + B \).

### Matrix Addition

Matrix addition is done element-wise. That means, to add two matrices, you add their corresponding elements. The matrices \( A \) and \( B \) are both 2x2 matrices, so we can add them as follows:

\[
A + B = \begin{bmatrix} 2 & 3 \\ 1 & 4 \end{bmatrix} + \begin{bmatrix} 1 & 2 \\ 5 & 6 \end{bmatrix} = \begin{bmatrix} 2+1 & 3+2 \\ 1+5 & 4+6 \end{bmatrix} = \begin{bmatrix} 3 & 5 \\ 6 & 10 \end{bmatrix}
\]

Thus, the result of \( A + B \) is \( \begin{bmatrix} 3 & 5 \\ 6 & 10 \end{bmatrix} \).

This matches option **a** from the image.

Would you like more details on matrix operations? Here are 5 additional questions to explore:

1. How do you subtract two matrices?
2. What is matrix multiplication and how does it differ from matrix addition?
3. Can you explain the conditions under which matrix addition is possible?
4. How do scalar multiplication and matrix addition interact?
5. What are some real-world applications of matrix operations?

**Tip**: When adding or subtracting matrices, they must be of the same dimension.

Diberikan matriks A = [2 3; 1 4] dan matriks B = [1 2; 5 6]. Apa hasil dari A + B?

Learn how to perform matrix addition with the example matrices A = [2 3; 1 4] and B = [1 2; 5 6]. This step-by-step guide explains the concept of matrix addition, suitable for high school students studying linear algebra.

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