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Show that positive odd integral powers o...

Show that positive odd integral powers of a skew-symmetric matrix are skew-symmetric and positive even integral powers of a skew-symmetric matrix are symmetric.

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Solution: Here, `A` is a skew-symmetric matrix.
`therefore A^{T}=-A {. }`
Now, We know, `(A^{n})^{T}=(A^{T})^{n}`
`Rightarrow(A^{n})^{T}=(-A)^{n} arrow(1)`
...
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