1. What is a matrix and how is it represented? 2. How do you add and subtract matrices? 3. What are the conditions for matrix multiplication? 4. How do you find the determinant of a 2x2 or 3x3 matrix? 5. What is the inverse of a matrix and how do you calculate it? 6. How do you find the transpose of a matrix? 7. What are eigenvalues and eigenvectors of a matrix? 8. How do you solve a system of linear equations using matrices? 9. What is the rank of a matrix and how is it determined? 10. How do you perform row operations on matrices? 11. What is the difference between symmetric and skew-symmetric matrices? 12. How do you find the trace of a matrix? 13. What is the identity matrix and its properties? 14. How do you diagonalize a matrix? 15. What are orthogonal matrices and their properties?