For what value of k the matrix [0 k; -6 0] is a skew symmetric matrix?

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Symmetric and Skew-Symmetric Matrices | PadhAiPro

Question

TextSymmetric and Skew-Symmetric Matrices

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 :

Symmetric and Skew-Symmetric Matrices

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 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