Types, operations, transpose, symmetric/skew, elementary transformations, inverse.
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Q1 · Matrices (Class 12) · EASY
If A is a 3×3 skew-symmetric matrix, then what is the value of the determinant |A|?
Q2 · Matrices (Class 12) · MEDIUM
If A = [[2, 3], [1, 4]] and B = [[1, 0], [-1, 2]], then find the matrix (A + B)' where ' denotes transpose.
Q3 · Matrices (Class 12) · MEDIUM
Find the inverse of the matrix A = [[3, 1], [5, 2]] using the formula A^(-1) = (1/|A|) adj(A).
Q4 · Matrices (Class 12) · MEDIUM
If A = [[2, 3], [1, 4]] and B = [[1, −1], [−2, 5]], then the matrix A + 2B is