https://file.aiquickdraw.com/mathbot/file/1727061894424j0t0ufnu.jpg

The image shows a set of matrix multiplication problems where the user is asked to match the result of the multiplication with the correct option from A to E. Let me guide you through solving these problems.

### Question Setup:
You are given five pairs of matrices to multiply, labeled 1 through 5. The options for the answers (A-E) provide possible solutions. We'll go through each problem and compute the matrix product.

Let's solve them step by step:

---

1. **Matrix Multiplication 1:**

   \[
   \begin{pmatrix}
   3 & -4 \\
   0 & 1
   \end{pmatrix}
   \times
   \begin{pmatrix}
   5 & 4 \\
   -1 & -2
   \end{pmatrix}
   \]

---

2. **Matrix Multiplication 2:**

   \[
   \begin{pmatrix}
   -2 & 3 \\
   5 & 1
   \end{pmatrix}
   \times
   \begin{pmatrix}
   0 & -4 \\
   1 & 5
   \end{pmatrix}
   \]

---

3. **Matrix Multiplication 3:**

   \[
   \begin{pmatrix}
   -2 & 1 \\
   4 & -3
   \end{pmatrix}
   \times
   \begin{pmatrix}
   -1 & 5 \\
   2 & 0
   \end{pmatrix}
   \]

---

4. **Matrix Multiplication 4:**

   \[
   \begin{pmatrix}
   2 & 4 \\
   3 & 1
   \end{pmatrix}
   \times
   \begin{pmatrix}
   4 & -1 \\
   5 & 2
   \end{pmatrix}
   \]

---

5. **Matrix Multiplication 5:**

   \[
   \begin{pmatrix}
   4 & -1 \\
   3 & 5
   \end{pmatrix}
   \times
   \begin{pmatrix}
   3 & -4 \\
   5 & -1
   \end{pmatrix}
   \]

---

### Answer Options:

- **A:** \(\begin{pmatrix} 9 & 11 \\ -3 & -19 \end{pmatrix}\)
- **B:** \(\begin{pmatrix} -17 & 17 \\ 0 & 17 \end{pmatrix}\)
- **C:** \(\begin{pmatrix} 14 & 2 \\ 16 & 18 \end{pmatrix}\)
- **D:** \(\begin{pmatrix} 19 & 20 \\ -1 & -2 \end{pmatrix}\)
- **E:** \(\begin{pmatrix} 2 & -10 \\ -4 & 20 \end{pmatrix}\)

I'll calculate each of these matrix products to match with the correct answer.

Let me calculate them.Here are the results of the matrix multiplications:

1. **Multiplication 1:**  
   \(\begin{pmatrix} 19 & 20 \\ -1 & -2 \end{pmatrix}\)  
   This corresponds to option **D**.

2. **Multiplication 2:**  
   \(\begin{pmatrix} 3 & 23 \\ 1 & -15 \end{pmatrix}\)  
   This result doesn't match any of the given options.

3. **Multiplication 3:**  
   \(\begin{pmatrix} 4 & -10 \\ -10 & 20 \end{pmatrix}\)  
   This corresponds to option **E**.

4. **Multiplication 4:**  
   \(\begin{pmatrix} 28 & 6 \\ 17 & -1 \end{pmatrix}\)  
   This result doesn't match any of the given options.

5. **Multiplication 5:**  
   \(\begin{pmatrix} 7 & -15 \\ 34 & -17 \end{pmatrix}\)  
   This result doesn't match any of the given options.

### Correct Matches:
1. **D**  
3. **E**

Would you like to explore how we could fix the mismatches or calculate further details?

Here are some related questions:

1. How is matrix multiplication defined for two matrices?
2. What are some common errors when performing matrix multiplication by hand?
3. How do you interpret the dimensions of the resulting matrix?
4. What are some applications of matrix multiplication in real-life scenarios?
5. How do you handle multiplication for larger matrices?

**Tip:** Always ensure that the number of columns in the first matrix matches the number of rows in the second when performing matrix multiplication.

Pasangkan hasil perkalian matriks berikut dengan jawaban yang sesuai.

Match the results of multiplying 2x2 matrices with the correct answers. This problem focuses on matrix multiplication concepts, properties, and solving techniques for high school students (Grades 10-12).

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