Unformatted text preview: a) A = 1 0 0 2 3 0 1 4 1 b) B = 22 12 3 1 41 2 6. Find an LUfactorization of A = 22 12 3 1 41 2 , and use it to solve A~x = 24 6 using a forward substitution followed by a back substitution. 7. Find an LUfactorization of A = 24 42 69 7314 8 . 8. Let A be an invertible n × n matrix and let { ~v 1 , . . . ,~v n } be a basis for R n . Prove that { A~v 1 , . . . , A~v n } is also a basis for R n . 1...
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 Spring '08
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 Linear Algebra, Algebra, Matrices, Invertible matrix, Elementary matrix, following matrices

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