Matrices Mock Tests

If A = [[0, 1], [−1, 0]], then A² is equal to:

If A = [[1, 2], [3, 4]] and B = [[0, 1], [1, 0]], then AB is equal to:

The value of k for which the matrix |1 k| |0 1| is orthogonal is:

If the matrix A = [[1, 0, 0], [0, cos α, sin α], [0, −sin α, cos α]], then A⁻¹ is equal to:

The value of det([[sin θ, cos θ], [−sin θ, cos θ]]) is:

Two matrices A and B will commute under multiplication if:

The eigenvalues of an orthogonal matrix are

If A and B are square matrices of order 3 such that |A| = -1 and |B| = 3, then |3AB^T| is: