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Unformatted text preview: b) Suppose that L : V W is linear and S is a subspace of V . Prove that L ( S ) is a subspace of W . c) The dimension of Col(A) equals the dimension of Row(A). Answers: 1) TTTFT 2) This was a HW problem. Set S = U-1 V (maybe from an arrow diagram), which is easiest to get from [ U | V ] [ I | S ]. S = 1-1-2 1 1 1 1 3) These proofs are in the textbook [though I think my proof of c) is clearer than the books]. 1...
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This note was uploaded on 12/26/2011 for the course MAS 3105 taught by Professor Julianedwards during the Spring '09 term at FIU.
- Spring '09