hmm, how do i prove this one?

plus,

(M^t)^-1 = (M^-1)^t

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- Aug 15th 2010, 12:25 PMexperiment00Show that if M is invertible, M^t is also invertible
hmm, how do i prove this one?

plus,

(M^t)^-1 = (M^-1)^t - Aug 15th 2010, 12:33 PMyeKciM
- Aug 15th 2010, 01:40 PMmath2009
if M is invertible, then $\displaystyle \det(M)\neq 0$

$\displaystyle \because~\det(M^T)=\det(M)\neq 0$, so $\displaystyle M^T$ is invertible