4 Apply the Cholesky factorization to A = -2 4 A = UTU. U = lo 10 x1 16 Solve A x2 = -88 by first solving UTy ] 72 y = 0 8 followed by solving Ux = y X = 8 = -2 4 17 -6 to get upper triangular matrix U such that -6 14 16 -88 72
4 Apply the Cholesky factorization to A = -2 4 A = UTU. U = lo 10 x1 16 Solve A x2 = -88 by first solving UTy ] 72 y = 0 8 followed by solving Ux = y X = 8 = -2 4 17 -6 to get upper triangular matrix U such that -6 14 16 -88 72
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
![4
Apply the Cholesky factorization to A = -2
4
A = UTU.
U =
10
10
x1
Solve A x2
y =
0
8
X =
=
followed by solving Ux = y
-2 4
17
-6 14
16
16
-88 by first solving UTy = -88
72
72
-6 to get upper triangular matrix U such that](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7bde078d-6bd5-4beb-b862-b8821a535b3a%2F846c71e0-2ed3-4b7b-9ce7-489cb0df500f%2Fdsj9oby_processed.png&w=3840&q=75)
Transcribed Image Text:4
Apply the Cholesky factorization to A = -2
4
A = UTU.
U =
10
10
x1
Solve A x2
y =
0
8
X =
=
followed by solving Ux = y
-2 4
17
-6 14
16
16
-88 by first solving UTy = -88
72
72
-6 to get upper triangular matrix U such that
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