https://file.aiquickdraw.com/mathbot/file/17270691520369u5anh3j.jpg

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

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### **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.** \(D \cdot C\)

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### **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.

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### **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 \(C_{31}\)

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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).

Diketahui matriks-matriks A, B, C, dan D, dan pertanyaan terkait operasi matriks dan invers matriks.

This exercise covers matrix operations, including matrix addition, transposition, multiplication, and finding the inverse of matrices. It also includes questions on calculating determinants, minors, and cofactors. Suitable for students studying linear algebra.

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