The image contains a set of matrix-related mathematical questions in Indonesian. I'll provide a brief breakdown of each question:

1. Diketahui Matriks (Given Matrices)

• A = $\begin{pmatrix} 1 & 2 \\ 0 & -1 \end{pmatrix}$, B = $\begin{pmatrix} 1 & 5 \\ -3 & 3 \end{pmatrix}$, C = $\begin{pmatrix} 2 \\ -9 \end{pmatrix}$, D = $\begin{pmatrix} 1 & 0 \\ -2 & 5 \\ 3 & 0 \end{pmatrix}$

Questions:

• a. $2A + 3B$
• b. $B' - A$ (where $B'$ is the transpose of $B$)
• c. $C(A + B)$
• d. $B \cdot C$
• e. $D \cdot C$

2. Tentukan Invers dari Matriks (Find the Inverse of the Matrices)

• a. $P = \begin{pmatrix} 1 & 2 \\ 3 & 0 \end{pmatrix}$
• b. $Q = \begin{pmatrix} 9 & 1 \\ 0 & 0.3 \end{pmatrix}$

Find the inverse of matrices $P$ and $Q$, if they exist.

3. Diketahui (Given)

• Matrix R = $\begin{pmatrix} -1 & 0 & 5 \\ 2 & 3 & 9 \\ 0 & -2 & 1 \end{pmatrix}$

Questions:

• a. Determine the determinant of $R$, $\text{det}(R)$
• b. Find the minors $M_{21}$, $M_{31}$, and $M_{32}$
• c. Find the cofactors $C_{12}$, $C_{22}$, and $C_{31}$

Would you like me to solve all of these questions or any specific parts? Feel free to specify!

Related Questions:

1. What is the procedure for calculating the determinant of a 3x3 matrix?
2. How do you find the transpose of a matrix?
3. How do you compute the inverse of a 2x2 matrix?
4. What are minors and cofactors in matrix algebra?
5. What is the difference between matrix multiplication and element-wise multiplication?

Tip:

When working with matrix operations like inversion or multiplication, ensure that the matrices involved are of compatible dimensions (e.g., square matrices for inverses).