(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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