Matrices And Determinants Mock Tests

The value of det([[1, a, a²], [1, b, b²], [1, c, c²]]) is:

The determinant of [[1, 0], [0, 1]] is:

The determinant of a 3 × 3 matrix is 12. If each element is doubled, the new determinant is:

If A = [[1, 2], [3, 4]], then det(A) equals:

The determinant of the matrix [[3, 1], [2, 4]] is:

The system of equations x + y + z = 6, x + 2y + 3z = 10, x + 2y + 4z = 12 has:

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

If A = [[1, 2], [3, 4]] and B = [[2, 0], [1, 3]], find A + B.