Total Questions : 20
Expected Time : 20 Minutes

1. What is the Frobenius norm of a matrix?

2. What is the Schur decomposition of a matrix?

3. What does the determinant of a matrix represent?

4. What is the determinant of a 4x4 matrix using the Laplace expansion?

5. In Cramer's Rule, what does each determinant represent?

6. What is the Perron-Frobenius theorem about?

7. What happens to the determinant of a matrix when two rows are exchanged?

8. How do you find the inverse of a 2x2 matrix?

9. What is the singular value decomposition (SVD) of a matrix?

10. Which property does the cross product of two vectors satisfy?

11. When is a matrix considered singular?

12. What is the eigenvalue of a matrix?

13. In a 3x3 matrix, how many elements are there?

14. What is the adjugate of a matrix?

15. In matrix calculus, what is the derivative of the determinant of a matrix with respect to the matrix itself?

16. When is a matrix considered defective?

17. What is the Kronecker product of two matrices?

18. What is the sum of the elements in the main diagonal of a square matrix called?

19. What is the matrix version of the Kronecker product?

20. In a 2x2 matrix, what is the formula for finding the inverse?