Matrices Mock Tests

If A is a 3 × 3 matrix with eigenvalues 1, 2, 3, then the eigenvalues of A² are

If A = [[1, 0, 0], [0, 1, 0], [0, 0, 1]], then A⁻¹ is:

If A and B are square matrices of the same order such that AB = BA = I, then B is:

The number of all possible matrices of order 2 × 3 with each entry being 0 or 1 is:

If A is a square matrix of order 3 such that |A| = 5, then |adj A| is:

If A = [[1, 1], [0, 1]] and B = A^100, then the sum of all elements of B is:

For the system of equations: 2x + y = 5, x − 3y = 2, what is the value of x using Cramer's rule?

If A and B are symmetric matrices of the same order, then AB - BA is: