Q. 8 A4.4( 56 Votes )

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Answer :


(A + A’) is a symmetric matrix.



On adding them we get,





Explanation: Now to show that the matrix obtained i.e. (A + A’) is symmetric we need to calculate its transpose and prove that the matrix (A + A’) and its transpose are equal. This means that (A + A’) = (A + A’)’.


. eqn 2


So, from equation 1 & 2 we get,


(A + A’) = (A + A’)’, hence we can say that (A + A’) is a symmetric matrix.


Ans. Hence proved.


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