Example 2 Use Cholesky's LU factorization method to solve the system 16x, – 12x, – 12x3– 16x4 = 16 %3D - -12x, + 25x, + X3 – 4x4 = – 68 -12x, + X2 + 17x3 + 14x, = - 20 -16x1 – 4x2 + 14x3 + 57x, = 158 %3D
Example 2 Use Cholesky's LU factorization method to solve the system 16x, – 12x, – 12x3– 16x4 = 16 %3D - -12x, + 25x, + X3 – 4x4 = – 68 -12x, + X2 + 17x3 + 14x, = - 20 -16x1 – 4x2 + 14x3 + 57x, = 158 %3D
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.1: Systems Of Equations
Problem 6E
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![Example 2
Use Cholesky's LU factorization method to solve the system
16x, – 12x, – 12x3– 16x, =
16
%3D
-
-12x, + 25x2 + X3 – 4X4
= - 68
-12x, + X2 + 17x3 + 14x, = - 20
-16x, – 4x, + 14x; + 57x4 = 158
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96dd4a4e-fa3b-4aa8-a9cb-4f2f973d5af6%2F212a648b-4b7d-49f4-89d0-050ab66b6371%2Fmu5hff8nk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Example 2
Use Cholesky's LU factorization method to solve the system
16x, – 12x, – 12x3– 16x, =
16
%3D
-
-12x, + 25x2 + X3 – 4X4
= - 68
-12x, + X2 + 17x3 + 14x, = - 20
-16x, – 4x, + 14x; + 57x4 = 158
%3D
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