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Show that all positive integral powers of a symmetric matrix are symmetric.

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Let `A` is a symmetric matrix, then, we have to prove,
`(A^n)^T = A^n`
We know, `(AB)^T = B^TA^T`
`:. (A^n)^T = (A*A*...*A)^T = A^T*A^T*A^T...A^T = (A^T)^n = A^n`
`=> (A^n)^T = A^n`.
It shows all positive integral powers of a symmetric matrix are symmetric.
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