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# Reinforcements and Matrices Quiz

### 1. What condition must a square matrix meet to have an inverse?

### 2. Which of the following operations can change the determinant of a matrix?

### 3. What is the result of multiplying a matrix by its inverse?

### 4. How is the determinant of a 2x2 matrix \(A = \begin{matrix} a & b \\ c & d \end{matrix}\) calculated?

### 5. What does an eigenvalue of a matrix represent?

### 6. Which operation does not alter the eigenvalues of a matrix?

### 7. In the context of matrices, what does the term 'singular' refer to?

### 8. What is the main purpose of performing the LU decomposition on a matrix?

### 9. Which statement about the rank of a matrix is true?

### 10. What role do matrices play in computer graphics?