CUET UG · Mathematics / Applied Mathematics (Domain)
Matrices
Order, types, transpose, symmetric / skew-symmetric, addition, multiplication and elementary operations.
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Take a full mock →Q1 · Matrices · EASY
If A is a 3×4 matrix and B is a matrix such that A'B and BA' are both defined, then the order of matrix B is:
Q2 · Matrices · MEDIUM
If A = [[2, 3], [4, 5]] and B = [[1, 0], [0, 1]], then (A + B)(A - B) equals:
Q3 · Matrices · EASY
A square matrix A is said to be skew-symmetric if:
Q4 · Matrices · HARD
If A = [[1, 2, 3], [2, 3, 4], [3, 4, 5]] and the matrix is expressed as A = P + Q where P is symmetric and Q is skew-symmetric, then P equals:
Q5 · Matrices · MEDIUM
If A is a 2×2 matrix such that A = [[2, 3], [1, 4]], then what is A + Aᵀ?