Understand various matrix operations, matrix decompositions, factorization and related operations
1. What is the determinant of the matrix [[1, 2],[3, 4]]?
2. What is the transpose of the matrix [[1, 2, 3],[4, 5, 6]]?
3. What is the adjoint of the matrix [[1, 2],[3, 4]]?
4. What is the cofactor of element a11 in the matrix [[1, 2],[3, 4]]?
5. What is the minor of element a11 in the matrix [[1, 2],[3, 4]]?
6. What is the inverse of matrix [[1, 2],[3, 4]]?
7. Which of the following matrices can be diagonalized?
8. What is the trace of the matrix [[1, 2, 3], [4, 5, 6], [7, 8, 9]]?
9. Which matrix is in row echelon form?
10. What is the rank of the matrix [[1, 2],[3, 4]]?