5. (a) Find the LU decomposition of the matrix [2 1 1] A = 4 0 2 635 (b) Find the LDU decomposition of the matrix [2 1 1] A = 4 0 2 635
5. (a) Find the LU decomposition of the matrix [2 1 1] A = 4 0 2 635 (b) Find the LDU decomposition of the matrix [2 1 1] A = 4 0 2 635
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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![5. (a) Find the LU decomposition of the matrix
[2 1 17
A = 4 0 2
6 3 5
(b) Find the LDU decomposition of the matrix
2
A = 4 0 2
125
635](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8d46346-fe9f-45aa-a3a0-df12b7cae379%2Fce79b659-79d5-4133-b5d8-a41c81460532%2F12cx20h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. (a) Find the LU decomposition of the matrix
[2 1 17
A = 4 0 2
6 3 5
(b) Find the LDU decomposition of the matrix
2
A = 4 0 2
125
635
Expert Solution
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Step 1
(.) and decomposition of the matrix ,
In decomposition , lower triangular matrix , upper triangular matrix
In decomposition , are lower and upper triangular matrices and is a diagonal matrix .
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