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### Question 1:
Given matrices \( P = \begin{bmatrix} 12 & b - a \\ -3 & 5 \end{bmatrix} \) and \( Q = \begin{bmatrix} 4 & -4a \\ 5 & 5 \end{bmatrix} \), if \( P = Q^T \), find the value of \( 3a + 2b \).

### Question 2:
Matrix equation is given:
\[
\begin{bmatrix} 2x - 1 & 13 \\ -3y & -1 \end{bmatrix} = \begin{bmatrix} 3 & 5z + y \\ x + 4 & -1 \end{bmatrix}
\]
Find the correct set of linear equations based on this matrix equality.

### Question 3:
Given matrices:
\[
P = \begin{bmatrix} 1 & -2 & 3 \\ 4 & 0 & -1 \end{bmatrix}, \quad Q = \begin{bmatrix} 2 & -3 \\ -2 & 1 \\ -2 & 1 \end{bmatrix}
\]
Calculate the matrix \( PQ \).

### Question 4:
Given matrices \( A = \begin{bmatrix} 5 & 4 \\ -3 & -1 \end{bmatrix} \), \( B = \begin{bmatrix} -4 & -1 \\ 1 & 3 \end{bmatrix} \), and \( C = \begin{bmatrix} -5 & 0 \\ 4 & -3 \end{bmatrix} \), find \( 3A - 2B + 4C \).

### Question 5:
Given matrix equation:
\[
\begin{bmatrix} 2a & b & -1 \\ 3d & -2 & 1 \end{bmatrix} = \begin{bmatrix} 10 & 9 & -1 \\ -20 & 3 & -3 \end{bmatrix}
\]
Determine which statement is incorrect.

### Question 6:
Given matrix \( A = \begin{bmatrix} 2 & 0 & 5 \\ -2 & -3 & 2 \\ 0 & 3 & -1 \end{bmatrix} \), calculate \( |A| \) (the determinant of matrix \( A \)).

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Uji Capaian Pembelajaran Bab 2. Several matrix-related exercises are shown, including solving for matrix equality, multiplication, and determinants.

This page provides solutions for matrix operations, including matrix multiplication, transposition, and determinants, as presented in the Uji Capaian Pembelajaran Bab 2. The exercises focus on essential matrix concepts for high school students in Grades 10-12.

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