1. The problem statement, all variables and given/known data If A is an mxn matrix, show that for each invertible nxn matrix V, im(A) = im(AV) 2. Relevant equations none 3. The attempt at a solution I know that im(A) can also be written as the span of columns of A. I also know that AV = [Av1 Av2 ... Avn] so im(AV) is the span of the columns of that matrix. However, I don't understand how the two can be equal.