Q. 524.5( 2 Votes )

Express the matri

Answer :

If A is any matrix then it can be written as the sum of a symmetric and skew symmetric matrix.


Symmetric matrix is given by 1/2(A + A’)


Skew symmetric is given by 1/2(A – A’)


And A = 1/2(A + A’) + 1/2(A – A’)


Here, A =


Symmetric matrix is given by -


1/2(A + A’) =


1/2(A + A’) =


1/2(A + A’) =


1/2(A + A’) =


Skew Symmetric matrix is given by -


1/2(A - A’) =


1/2(A - A’) =


1/2(A - A’) =


1/2(A - A’) =


A =


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