Solve using LU Decomposition: 7x₁2x₂ + x3 = 12 { 14x17x2-3x3 = 17 -7x₁ + 11x₂ + 18x3 = 5 a.) Solve for L and U. b.) Find the value of x1, x2 and x3.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.2: Complex Numbers And Quaternions
Problem 45E
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Solve using LU Decomposition:
7x₁2x₂ + x3 = 12
14x₁7x2-3x3 = 17
-7x₁ + 11x₂ + 18x3 = 5
a.) Solve for L and U.
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b.) Find the value of x1, x2 and x3.
Transcribed Image Text:Solve using LU Decomposition: 7x₁2x₂ + x3 = 12 14x₁7x2-3x3 = 17 -7x₁ + 11x₂ + 18x3 = 5 a.) Solve for L and U. { b.) Find the value of x1, x2 and x3.
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