+ 2r3 + 24 + 7r3 + 3r4 314 5 + 22 + 3r2 211 4 + 12 + 213 = 1

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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Use the LU decomposition to solve the following system, that is, the values of the unknowns.

a) Construct the lower triangular matrix [L] and the upper triangular matrix [U] with the triangulation step of the Gaussian Elimination method. Then multiply the resulting [L] and [U] matrices to show that the matrix [ A] of the original system.

221
7x3 + 3x4
+ 3x4
8
-81
1
+ *2
+
213
Transcribed Image Text:221 7x3 + 3x4 + 3x4 8 -81 1 + *2 + 213
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