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If `A` is a symmetric matrix and `n in N` , write whether `A^n` is symmetric or skew-symmetric or neither of these two.

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We have given, A is symmetric matrix and `n in N`.
Then,
`(A^n)^T=(A^T)^n`
As A is symmetric
`(A^n)^T=(A)^n`
Therefore `A^n` is also a symmetric matrix.
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