https://file.aiquickdraw.com/mathbot/file/1727226480794azu71nlt.jpg

The image shows a matrix multiplication problem. The task is to multiply two matrices \(A\) and \(B\), and find the resulting matrix \(AB\).

Matrix \( A \) is given as:
\[
A = \begin{pmatrix} -3 & 1 \\ 5 & 10 \\ 2 & -4 \end{pmatrix}
\]
Matrix \( B \) is:
\[
B = \begin{pmatrix} 3 & -2 & 4 \\ 2 & 0 & 1 \end{pmatrix}
\]
We are asked to compute the product \( AB \) and match it with the multiple-choice options provided in the image.

Let me calculate the matrix product \( AB \).The product of matrices \( A \) and \( B \) is:
\[
AB = \begin{pmatrix} 
-7 & 6 & -11 \\ 
35 & -10 & 30 \\ 
-2 & -4 & 4 
\end{pmatrix}
\]

Comparing this result with the options in the image, the correct answer is **Option C**.

Do you have any questions or would you like further details?

Here are 5 related questions for practice:
1. What are the properties of matrix multiplication?
2. What conditions must hold for two matrices to be multiplied?
3. How would the result change if the order of multiplication was \( B \times A \)?
4. How can matrix multiplication be used in solving systems of equations?
5. What is the identity matrix, and how does it affect multiplication?

**Tip**: Matrix multiplication is not commutative, meaning \( AB \neq BA \) in general.

Diketahui matriks A = [[-3, 1], [5, 10], [2, -4]] dan B = [[3, -2, 4], [2, 0, 1]]. Hael dari AB adalah?

Solve the matrix multiplication of A = [[-3, 1], [5, 10], [2, -4]] and B = [[3, -2, 4], [2, 0, 1]]. Learn how to multiply matrices and find the resulting matrix AB, suitable for high school students learning linear algebra.

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