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Unformatted text preview: P , then M is row equivalent to P . 4. (8 points) Prove the following. If X and Y are n n matrices and X Y = I then X is invertible and X-1 = Y . 5. (9 points) Let A be an n n matrix. (a) Dene what it means to say that A is nonsingular . (b) Prove the theorem that states that if A is nonsingular, then its inverse is unique. 6. (8 points) A matrix W is called skew-symmetric if W T =-W . Prove that if B is a square matrix, then B-B T is skew-symmetric. 1...
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This note was uploaded on 12/27/2011 for the course MAS 4105 taught by Professor Rudyak during the Spring '09 term at University of Florida.
- Spring '09