The following system of equations has a unique solution. ) Write the system as Ax = b ) Perform PLU decomposition and verify that PA = LU go th DUILD 1. 2.
The following system of equations has a unique solution. ) Write the system as Ax = b ) Perform PLU decomposition and verify that PA = LU go th DUILD 1. 2.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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