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The problem asks to determine the result of matrix multiplication \( PQ \), where:

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

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

Let me calculate the product \( PQ \).The result of the matrix multiplication \( PQ \) is:

\[
PQ = \begin{bmatrix}
-1 & -4 & -12 \\
1  & -2 & -4  \\
-3 & -6 & -20
\end{bmatrix}
\]

Would you like more details on how the multiplication was done?

Here are some related questions to expand on this:

1. How do you perform matrix multiplication step by step?
2. Can every matrix be multiplied with any other matrix?
3. What are the properties of matrix multiplication?
4. What are some practical applications of matrix multiplication?
5. How does the size of matrices affect their multiplication?

**Tip:** The order of matrix multiplication matters, meaning \( PQ \neq QP \).

Diketahui matriks P = [[2, -1], [1, 0], [3, -2]] dan Q = [[1, -2, -4], [3, 0, 4]], tentukan hasil perkalian matriks PQ!

Find the product of matrices P and Q where P = [[2, -1], [1, 0], [3, -2]] and Q = [[1, -2, -4], [3, 0, 4]]. Learn how to multiply these matrices step by step, including the concepts of linear algebra and matrix multiplication. Suitable for high school students.

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