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Find the LU factorization of and use it to solve the system -4 -16 4 -4 A = LU = A = 1 7 -13 -4 -14 43 1 4 -4 -16 4 -4 -1 -2 5 19 11 -7 -10 0 1 1 -2 5 7 -13 19 -4 11 -7 -14 43 -10 -1 0 0 x = 0 0 1 0 -5 5 1 [x₁ X2 x3 X4 = 37 144 -44 -23

Find the LU factorization of and use it to solve the system -4 -16 4 -4 A = LU = A = 1 7 -13 -4 -14 43 1 4 -4 -16 4 -4 -1 -2 5 19 11 -7 -10 0 1 1 -2 5 7 -13 19 -4 11 -7 -14 43 -10 -1 0 0 x = 0 0 1 0 -5 5 1 [x₁ X2 x3 X4 = 37 144 -44 -23

Advanced Engineering Mathematics
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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Find the LU factorization of and use it to solve the system –4 -16 4 -4 A = LU = A = 1 4 1 7 -4 11 -14 43 -1 -4 -16 4 1 4 -2 5 -13 19 -7 x 3 -10] X4 0 1 1 -2 -13 5 7 19 -4 11 -7 -14 43 -10 0 0 0 || −1 1 0 -5 5 0 1 4 x1 X2 37 144 -44 -23
Transcribed Image Text:Find the LU factorization of and use it to solve the system –4 -16 4 -4 A = LU = A = 1 4 1 7 -4 11 -14 43 -1 -4 -16 4 1 4 -2 5 -13 19 -7 x 3 -10] X4 0 1 1 -2 -13 5 7 19 -4 11 -7 -14 43 -10 0 0 0 || −1 1 0 -5 5 0 1 4 x1 X2 37 144 -44 -23
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