Express [[2,0,1],[2,1,3],[1,-1,0]] as the sum of symmetric and skew symmetric matrices.

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Symmetric Matrix, Skew-Symmetric Matrix, Expression of Any Square Matrix as Sum of Symmetric and Skew-Symmetric Matrices | PadhAiPro

Question

TextSymmetric MatrixSkew-Symmetric MatrixExpression of Any Square Matrix as Sum of Symmetric 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 :

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 :

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

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

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