Math 3013 Quiz 3 Solutions

Compute the lu factorization of 2 6 a 8 4 1 4 4 1

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Unformatted text preview: 0 r2−2r3 −→ 0 1 0 5 −3 −1 0 0 1 −3 2 1 0 011 −2 1 0 0 5 001 0 0 11 2 −1 1 1 5 0 12 0 0 11 2 −1 1 1 1 −3 2 1 2. Compute the LU factorization of 2 6 A= 8 4 −1 −4 −4 −1 Solution A = LU can be written into 2 −1 0 0 1 6 −4 5 −3 ∗ 8 −4 1 0 = ∗ 4 −1 0 7 ∗ 0 1 ∗ ∗ 00 5 −3 1 0 07 0 0 1 ∗ 0∗ 0 0 0 0 10 ∗ ∗ 0 0 ∗ ∗ ∗ 0 ∗ ∗ ∗ ∗ 1. The first row of U . By using matrix multiplication and the first row of A, we have 1 0 0 0 2 −1 0 0 2 −1 0 0 6 −4 5 −3 ∗ 1 0 0 0 ∗ ∗ ∗ 8 −4 1 0 = ∗ ∗ 1 0 0 0 ∗ ∗ 4 −1 0 7 ∗∗∗1 0 0 0...
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This note was uploaded on 01/28/2014 for the course MATH 3013 taught by Professor Staff during the Fall '08 term at Oklahoma State.

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