If A and B are skew-symmetric matrices of same order, then AB′ + BA′ is a/an :

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Question

MCQ (Single)Transpose of a Matrix and Its PropertiesSymmetric MatrixSkew-Symmetric Matrix

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 :

MCQ (Single)Skew-Symmetric Matrix

If A is a square matrix of order 3 such that the value of |adj·A| = 8, then the value of |Aᵀ| 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 what value of x ∈ [0, π/2], is A + A′ = √3 I, where A = [cos x sin x; −sin x cos x] ?