SOLUTION: How Do I Can show that,if A is a square matrix of order n,then A+A^T is Symmetric matrix?

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Question 1028698: How Do I Can show that,if A is a square matrix of order n,then A+A^T is Symmetric matrix?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Should be easy if you know the properties of transposition. A square matrix A is symmetric f A%5ET+=+A.
Now %28A%2BA%5ET%29%5ET+=+A%5ET+%2B+%28A%5ET%29%5ET+=+A%5ET+%2B+A+=+A+%2B+A%5ET,
and therefore the matrix A+%2B+A%5ET itself is symmetric.