1. Consider the matrix (1 0 0 2 14 -3 3 (2 1 3 4 1 21 1 A = Suppose that we want to solve the system Ar = b, with 1. Can the LU decomposition of A be used for this? Explain your answer. 2. Can the Cholesky decomposition be used for this? Explain your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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1.
Consider the matrix
(1 0
0 2
1.
4.
1.
A =
1 4 -3 3
2 1 3 4
Suppose that we want to solve the system Ar = b, with
1. Can the LU decomposition of A be used for this? Explain your answer.
2. Can the Cholesky decomposition be used for this? Explain your answer.
Transcribed Image Text:1. Consider the matrix (1 0 0 2 1. 4. 1. A = 1 4 -3 3 2 1 3 4 Suppose that we want to solve the system Ar = b, with 1. Can the LU decomposition of A be used for this? Explain your answer. 2. Can the Cholesky decomposition be used for this? Explain your answer.
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