If A=[[cosα,-sinα],[sinα,cosα]], and A + A' = I, then the value of α is

Question

MCQ (Single)Skew-Symmetric Matrix

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Assertion (A) : For any symmetric matrix A, B′AB is a skew-symmetric matrix. Reason (R) : A square matrix P is skew-symmetric if P′ = – P.

If A and B are two skew symmetric matrices, then (AB + BA) is :

Skew-Symmetric Matrix

If A = [a c −1; b 0 5; 1 −5 0] is a skew-symmetric matrix, then the value of 2a − (b + c) is :

If [2 0; 5 4] = P + Q, where P is a symmetric and Q is a skew symmetric matrix, then Q is equal to

A and B are skew-symmetric matrices of same order. AB is symmetric, if :

For any square matrix A, (A – A′) is always