Math 3013 Quiz 3 Solutions

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

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

Ask a homework question - tutors are online