## if A is a square matrix ,expressed as A= x+y ,where x is a symmetric matrix and y is skew symmetric , find value of x and y

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## Answers ( )

SOLUTIONGIVENA is a square matrix expressed as A= X + Y ,

where X is a symmetric matrix and Y is skew symmetric matrix

TODETERMINEThe value of X and Y

CONCEPTTO BEIMPLEMENTED1. A matrix M is said to be symmetric matrix if

2. A matrix M is said to be skew – symmetric matrix if

EVALUATIONHere it is given that

A= X + Y ………… (1)

Here it is also stated that X is a symmetric matrix and Y is skew symmetric matrix

So

Taking transpose in both sides of Equation (1) we get

Solving Equation (1) & Equation (2) we get

Which is the required value of X and Y

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