https://file.aiquickdraw.com/mathbot/file/17270664078467hxf8bqj.jpg

Let's solve the problem by finding the sum of matrices \( A \) and \( B \).

Given:
\[ A = \begin{pmatrix} 3 & 4 \\ -2 & 8 \end{pmatrix} \]
\[ B = \begin{pmatrix} 2 & 0 \\ 5 & 7 \end{pmatrix} \]

To find \( A + B \), we add the corresponding elements of matrices \( A \) and \( B \):

\[ A + B = \begin{pmatrix} 3 & 4 \\ -2 & 8 \end{pmatrix} + \begin{pmatrix} 2 & 0 \\ 5 & 7 \end{pmatrix} = \begin{pmatrix} 3+2 & 4+0 \\ -2+5 & 8+7 \end{pmatrix} = \begin{pmatrix} 5 & 4 \\ 3 & 15 \end{pmatrix} \]

Thus, the correct answer is:
\[ \boxed{\text{a.} \ \begin{pmatrix} 5 & 4 \\ 3 & 15 \end{pmatrix}} \]

Do you want details or have any questions?

Here are 5 related questions to expand your understanding:
1. What is the result of subtracting matrix \( B \) from matrix \( A \)?
2. How do you multiply two matrices?
3. What is the determinant of matrix \( A \)?
4. What is the inverse of matrix \( A \) if it exists?
5. How do you perform scalar multiplication on a matrix?

**Tip:** When adding or subtracting matrices, ensure they have the same dimensions, meaning the same number of rows and columns.

Diketahui A = [[3, 4], [-2, 8]] dan B = [[2, 0], [5, 7]], nilai A + B = ?

This problem demonstrates how to perform matrix addition with matrices A = [[3, 4], [-2, 8]] and B = [[2, 0], [5, 7]]. The solution involves adding corresponding elements. Suitable for Grades 8-10, this matrix addition problem provides a clear and step-by-step explanation.

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