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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
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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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
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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