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 :
A and B are skew-symmetric matrices of same order. AB is symmetric, if :
For what value of x ∈ [0, π/2], is A + A′ = √3 I, where A = [cos x sin x; −sin x cos x] ?
If A = [[1, a, b], [−1, 2, c], [0, 5, 3]] is a symmetric matrix, then the value of 3a + b + c is
If A = [[tan x, cot x], [−cot x, tan x]] and A + A′ = 2I, then value of x ∈ [0, π/2) is
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