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### Problem 1:
Given matrices:

\[
A = \begin{bmatrix} 3 & -4 \\ 1 & 2 \end{bmatrix}, 
B = \begin{bmatrix} -3 & -2 \\ -1 & 5 \end{bmatrix}, 
C = \begin{bmatrix} 5 & 4 \\ -2 & -1 \end{bmatrix}
\]

You are asked to find the value of \( 3A^T - B + 2C \).

### Step-by-step solution:

1. **Transpose of matrix A, \( A^T \):**

Transpose of matrix \( A \):

\[
A^T = \begin{bmatrix} 3 & 1 \\ -4 & 2 \end{bmatrix}
\]

2. **Multiply \( A^T \) by 3:**

\[
3A^T = 3 \times \begin{bmatrix} 3 & 1 \\ -4 & 2 \end{bmatrix} = \begin{bmatrix} 9 & 3 \\ -12 & 6 \end{bmatrix}
\]

3. **Multiply matrix \( C \) by 2:**

\[
2C = 2 \times \begin{bmatrix} 5 & 4 \\ -2 & -1 \end{bmatrix} = \begin{bmatrix} 10 & 8 \\ -4 & -2 \end{bmatrix}
\]

4. **Add and subtract the matrices:**

\[
3A^T - B + 2C = \begin{bmatrix} 9 & 3 \\ -12 & 6 \end{bmatrix} - \begin{bmatrix} -3 & -2 \\ -1 & 5 \end{bmatrix} + \begin{bmatrix} 10 & 8 \\ -4 & -2 \end{bmatrix}
\]

First, perform the subtraction \( 3A^T - B \):

\[
3A^T - B = \begin{bmatrix} 9 & 3 \\ -12 & 6 \end{bmatrix} - \begin{bmatrix} -3 & -2 \\ -1 & 5 \end{bmatrix} = \begin{bmatrix} 12 & 5 \\ -11 & 1 \end{bmatrix}
\]

Now add \( 2C \):

\[
\begin{bmatrix} 12 & 5 \\ -11 & 1 \end{bmatrix} + \begin{bmatrix} 10 & 8 \\ -4 & -2 \end{bmatrix} = \begin{bmatrix} 22 & 13 \\ -15 & -1 \end{bmatrix}
\]

### Final Answer:
The result of \( 3A^T - B + 2C \) is:

\[
\begin{bmatrix} 22 & 13 \\ -15 & -1 \end{bmatrix}
\]

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Would you like to proceed with another problem from the image or need more details on this one? Here are some related questions:

1. What is the general process of finding the transpose of a matrix?
2. Can you explain how matrix addition and subtraction work?
3. How is scalar multiplication applied to a matrix?
4. What happens if we transpose a product of two matrices?
5. How do we check if a matrix is invertible?

### Tip:
When adding and subtracting matrices, always ensure that the dimensions of the matrices are compatible for the operation.

Diketahui A = [[3, -4], [1, 2]], B = [[-3, -2], [-1, 5]] dan C = [[5, 4], [-2, -1]]. Tentukan 3A^T - B + 2C !

Learn how to solve the matrix equation 3A^T - B + 2C using matrix transposition, scalar multiplication, and matrix addition. Detailed steps provided with A = [[3, -4], [1, 2]], B = [[-3, -2], [-1, 5]], and C = [[5, 4], [-2, -1]]. Suitable for high school students.

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