{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Slides_2010_02_24

# Slides_2010_02_24 - Applied linear algebra and numerical...

This preview shows pages 1–6. Sign up to view the full content.

Applied linear algebra and numerical analysis Session 21 Prof. Ulrich Hetmaniuk Department of Applied Mathematics February 25, 2010

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Office Hours Today ! Office Hours from MGH are moved to ICL Lab from 6:30-8pm. Two new times in GUG 416 (Laptop only) Tuesday 5-8pm Wednesday 5-8pm
LU Factorization Definition A matrix A is regular if and only if it can be factored A = LU where L is lower-triangular with diagonal entries equal to 1 and U is a upper-triangular matrix with nonzero diagonal entries. The matrix A is invertible.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Review: Elementary Matrix Operations 1 0 0 a 1 0 b 0 1 2 3 4 5 6 7 8 9 10 = 2 3 4 5 + 2 a 6 + 3 a 7 + 4 a 8 + 2 b 9 + 3 b 10 + 4 b (1) 1 0 0 0 1 0 0 c 1 2 3 4 5 6 7 8 9 10 = 2 3 4 5 6 7 8 + 5 c 9 + 6 c 10 + 7 c (2)
Review: Elementary Matrix Operations 1 0 0 a 1 0 b 0 1 1 0 0 0 1 0 0 c 1 = 1 0 0 a 1 0 b c 1 1 0 0 0 1 0 0 c 1 1 0 0 a 1 0 b 0 1 = 1 0 0 a 1 0 ac + b c 1

This preview has intentionally blurred sections. Sign up to view the full version.

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

{[ snackBarMessage ]}