Express the following matrices as the sum of a symmetric and a skew symmetric matrix:

Question

CASE_STUDIESExpression of Any Square Matrix as Sum of Symmetric and Skew-Symmetric Matrices4 sub-questions

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

Find (1/2)(A + A') and (1/2)(A - A'), when A=[[0,a,b],[-a,0,c],[-b,-c,0]]

TextExpression of Any Square Matrix as Sum of Symmetric and Skew-Symmetric Matrices

Express the matrix B=[[2,-2,-4],[-1,3,4],[1,-2,-3]] as the sum of a symmetric and a skew symmetric matrix.