Q14 of 45 Page 1

Express the following matrix as the sum of a symmetric and skew-symmetric matrix, and verify your result:

Given, A 3x3 Matrix is given,

To Find: Sum of a symmetric and skew-symmetric matrix


Explanation: Let us Assume Given Matrix is A, Then




Since, Symmetric Matrix is Let Assume P






Since Skew - Symmetric is Let Assume Q






Now,


And,






Hence, P and Q are required symmetric and skew - symmetric matrices.


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