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If A is a square matrix, using mathemati...

If `A` is a square matrix, using mathematical induction prove that `(A^T)^n=(A^n)^T` for all `n in Ndot`

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We will prove it using mathematical induction.
For, `n = 1`,
`L.H.S = (A^T)^1 = A^T`
`R.H.S. = (A^1)^T = A^T`
As, `L.H.S.= R.H.S`, our equation is true for `n = 1`.
Let, our equation is true for `n = k` where `k` is a natural number.
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