Mathematics
Mathematics, 08.08.2019 03:10, mel4245

2. suppose l : v w is a linear map between n-dimensional vector spaces, and let a be the matrix corresponding to l with respect to bases b of v and c of w. (a) prove that if rank(a) n, then l is an isomorphism. (b) prove that if 0 is an eigenvalue of l, then l is not surjective.

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