https://file.aiquickdraw.com/mathbot/file/1726975026129xniun7am.jpg

The problem asks to compute the matrix product \( AB \) for two given matrices \( A \) and \( B \).

From the image:

- Matrix \( A \) is:
\[
A = \begin{pmatrix} 
3 & 1 \\
2 & 2 \\
0 & 3 
\end{pmatrix}
\]

- Matrix \( B \) is:
\[
B = \begin{pmatrix} 
-2 & -4 & -3 \\
2 & 0 & 1 
\end{pmatrix}
\]

To compute the product \( AB \), we perform matrix multiplication. Let me calculate that for you.The result of the matrix multiplication \( AB \) is:

\[
AB = \begin{pmatrix}
-4 & -12 & -8 \\
0  & -8  & -4 \\
6  & 0   & 3
\end{pmatrix}
\]

Would you like more details on the steps of the multiplication process or have any questions?

Here are some related questions to explore:

1. How do you perform matrix multiplication step by step?
2. What are the properties of matrix multiplication (e.g., commutativity)?
3. How can you verify if two matrices are conformable for multiplication?
4. What is the geometric interpretation of matrix multiplication?
5. How can matrix multiplication be used in transformations, such as rotation or scaling?

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

Diketahui matriks A = [[3, 1], [2, 2], [0, 3]] dan B = [[-2, -4, -3], [2, 0, 1]]. Hasil dari AB = ...

Learn how to perform matrix multiplication for matrices A (3x2) and B (2x3) with a detailed step-by-step solution. This problem introduces key linear algebra concepts and explains how to multiply matrices.

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