4Apply the Cholesky factorization to A = -24A = UTU.U =1010x1Solve A x2y =08X ==followed by solving Ux = y-2 417-6 141616-88 by first solving UTy = -887272-6 to get upper triangular matrix U such that

Answered: Image /qna-images/answer/846c71e0-2ed3-4b7b-9ce7-489cb0df500f.jpg

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

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.1: Operations With Matrices

Problem 72E: Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.

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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

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