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Prove that inverse of a skew-symmetric m...

Prove that inverse of a skew-symmetric matrix (if it exists) is skew-symmetric.

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A is skew-symmetric, then `A^(T)=-A`.
`:. (A^(-1))^(T)=(A^(T))^(-1)=(-A)^(-1) =-A^(-1)`
Thus, `A^(-1)` is skew-symmetric.
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