Operations on matrices and determinant theory up to Class XII.
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Q1 · Matrices and Determinants · EASY
If A is a 3×2 matrix and B is a 2×4 matrix, then the order of the matrix AB is:
Q2 · Matrices and Determinants · EASY
If A = [[2, 3], [4, 5]] and B = [[1, 0], [0, 1]], then A + B equals:
Q3 · Matrices and Determinants · MEDIUM
The determinant of the matrix [[3, 2], [1, 4]] is:
Q4 · Matrices and Determinants · MEDIUM
If A = [[1, 2], [3, 4]], then the adjoint of A is:
Q5 · Matrices and Determinants · HARD
If the determinant of a 3×3 matrix A is 5, then the determinant of 2A is: