Find the LDU factorization of -2 -2 6 4 -15 -10 A = -6 3 -13 -14 -2 14 46 35 That is, write A = LDU where L is a lower triangular matrix with ones on the diagonal, D is a diagonal matrix, and U is an upper triangular matrix with ones on the diagonal.
Find the LDU factorization of -2 -2 6 4 -15 -10 A = -6 3 -13 -14 -2 14 46 35 That is, write A = LDU where L is a lower triangular matrix with ones on the diagonal, D is a diagonal matrix, and U is an upper triangular matrix with ones on the diagonal.
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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Question
![Find the LDU factorization of
-2
-2
6
4
2
A =
5
-15
-10
-6
3
-13
-14
-2
-14
46
35
That is, write A = LDU where L is a lower triangular matrix with ones on the diagonal, D is a diagonal matrix, and U is an upper triangular matrix with ones on the diagonal.
L =
D
U =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4dddc837-0d22-49fb-8e7b-927c30e27597%2Fb3140595-996b-4892-afd2-30236d3275c2%2Fg1ae67_processed.png&w=3840&q=75)
Transcribed Image Text:Find the LDU factorization of
-2
-2
6
4
2
A =
5
-15
-10
-6
3
-13
-14
-2
-14
46
35
That is, write A = LDU where L is a lower triangular matrix with ones on the diagonal, D is a diagonal matrix, and U is an upper triangular matrix with ones on the diagonal.
L =
D
U =
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