[21 5 1 22 3 2 02-1 3 6 1 4 -2 and 6: = [8] Find the LU-Decomposition of the matrix A, and using it to solve the linear system Ax = 6.
[21 5 1 22 3 2 02-1 3 6 1 4 -2 and 6: = [8] Find the LU-Decomposition of the matrix A, and using it to solve the linear system Ax = 6.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:1. Let
A
1
[21
22 3 2
02 -1 3
61 4
and b
-
Find the LU-Decomposition of the matrix A, and using it to solve the linear system
Ax = 6.
Expert Solution
Step 1
First we find LU decomposition of A.
LU= A
Then to find solution of a system AX=B we substitute A=LU.
Hence to find solution of system we find solution of a system LUX=B.
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