tut8 - Math 136 Tutorial 8 Problems 1 2 −1 3 5 7 −1. 1:...

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Unformatted text preview: Math 136 Tutorial 8 Problems 1 2 −1 3 5 7 −1. 1: Find the inverses of A = and B = 3 −2 −2 −1 −2 −1 13 . Write A and A−1 as a product of elementary matrices. −2 4 2 5 5 2 , and use it to solve Ax = . −1 0 2 13 2: Let A = 3 −7 −3 5 3: Find an LU-factorization of A = 6 −13 3 1 4: Let {v1 , . . . , vn } be a basis for Rn and let A be an n × n matrix such that {Av1 , . . . , Avn } is also a basis for Rn . Prove that A is invertible. 1 ...
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This note was uploaded on 01/06/2011 for the course MATH 136 taught by Professor All during the Winter '08 term at Waterloo.

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