x1 + x2 + x3 2x1 + 3x2 + 4x3 3x1 +4x2+2x3 6 20 = 17. = =
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:2. A linear system is described by the following equations
x1 + x2 + x3
2x1 + 3x2 + 4x3
3x1 + 4x2 + 2x3
(a)
(b)
(ct
6
20
= 17.
Construct the Frobenius matrices F(¹) and F(2) from this system.
Compute the unit lower triangular matrix L.
Now find the solution of the linear system using LU decomposition method. Use the unit lower
triangular matrix found in the previous question.
2
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