3. ) Use the PLU decomposition to solve the system for x x1 - x₂ = 3 x₁ + 2x₂ + x3 = -3 2x₁ + 3x2 + 2x3 = -5

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.2: Guassian Eliminationa And Guass-jordan Elimination
Problem 54E
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Please answer 3
The following system of equations has a unique solution.
) Write the system as Ax = b
) Perform PLU decomposition and verify that PA = LU
) Use the PLU decomposition to solve the system for x
1.
2.
3.
x₁ - x₂ = 3
x₁ + 2x₂ + x3 = -3
2x1 + 3x2 + 2x3 = -5
Transcribed Image Text:The following system of equations has a unique solution. ) Write the system as Ax = b ) Perform PLU decomposition and verify that PA = LU ) Use the PLU decomposition to solve the system for x 1. 2. 3. x₁ - x₂ = 3 x₁ + 2x₂ + x3 = -3 2x1 + 3x2 + 2x3 = -5
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