3. ) Use the PLU decomposition to solve the system for x x1 - x₂ = 3 x₁ + 2x₂ + x3 = -3 2x₁ + 3x2 + 2x3 = -5
3. ) Use the PLU decomposition to solve the system for x x1 - x₂ = 3 x₁ + 2x₂ + x3 = -3 2x₁ + 3x2 + 2x3 = -5
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please answer 3
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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