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Determine the LU factorization (by Doolittle, Crout's methods) for matrix A in the linear system Ax = b, where %3D 1 1 3 2 A = 3 1 -1 1 -1 -1 2 1 3 -1 1 1 b = -3 4 ||

Determine the LU factorization (by Doolittle, Crout's methods) for matrix A in the linear system Ax = b, where %3D 1 1 3 2 A = 3 1 -1 1 -1 -1 2 1 3 -1 1 1 b = -3 4 ||

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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(b) Then use the factorization to solve the system X1 + x2 + 3x4 = 8 2.x1 + x2 – X3 + x4 = 7 3x1 – x2 – x3 + 2x4 = 14 -x1 + 2x2 + 3x3 – x4 = -7 (c) Find the inverse of the above matrix A, using Doolittle and Crout's decomposition.
Transcribed Image Text:(b) Then use the factorization to solve the system X1 + x2 + 3x4 = 8 2.x1 + x2 – X3 + x4 = 7 3x1 – x2 – x3 + 2x4 = 14 -x1 + 2x2 + 3x3 – x4 = -7 (c) Find the inverse of the above matrix A, using Doolittle and Crout's decomposition.
(a) Determine the LU factorization (by Doolittle, Crout's methods) for matrix A in the linear system Ax = b, where 1 1 -1 A = -1 -1 3 -1 1 b = -3 4
Transcribed Image Text:(a) Determine the LU factorization (by Doolittle, Crout's methods) for matrix A in the linear system Ax = b, where 1 1 -1 A = -1 -1 3 -1 1 b = -3 4
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