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 January 27th, 2011, 09:35 AM #1 Senior Member   Joined: Sep 2010 From: Germany Posts: 153 Thanks: 0 two vector spaces I need help with this excercise, I have no idea how to do it. Let $V=V(m,\mathbb{R})$ and $W=W(n,\mathbb{R})$ and let f be a matrix corresponding to a linear map from V to W. verify that$rankf=rankf^{t}=rank(Mf^{t}N)$, where $M\in GL(m\mathbb{R})$ and $N\in GL(n\mathbb{R})$ Thank you!

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