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Reinforcements and Matrices Quiz

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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?