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

Question

MCQ (Single)Symmetric MatrixSkew-Symmetric MatrixCBSE PYQ

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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 :

MCQ (Single)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 :

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If A = [1 4 x; z 2 y; -3 -1 3] is a symmetric matrix, then the value of x + y + z is :

For what value of x ∈ [0, π/2], is A + A′ = √3 I, where A = [cos x sin x; −sin x cos x] ?