then the linear system Ax =b can be expressed as LUx = 6 and can be solved in two steps: Step 1. Let Ux = y, so that LU = b can be expressed as Ly = b. Solve this system. Step 2. Solve the system Ux = y for x. %3D Use the two-step method to solve the given system. 19 12 0 0 2 0 1 4 -1 55 -2 0. 2 4 X2 1 0. 12 X3 6. 1 | 6.
then the linear system Ax =b can be expressed as LUx = 6 and can be solved in two steps: Step 1. Let Ux = y, so that LU = b can be expressed as Ly = b. Solve this system. Step 2. Solve the system Ux = y for x. %3D Use the two-step method to solve the given system. 19 12 0 0 2 0 1 4 -1 55 -2 0. 2 4 X2 1 0. 12 X3 6. 1 | 6.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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If the n x n matrix A can be expressed as A = LU, where L is
a lower triangular matrix and U is an upper triangular matrix,
then the linear system Ax = b can be expressed as LUx = b and
can be solved in two steps:
Step 1. Let Ux
y, so that LUx = b can be expressed as
Ly = b. Solve this system.
Step 2. Solve the system U :
y for x.
Use the two-step method to solve the given system.
19
12
JI
1
0.
0.
4
-1
55
-2
2 0
2
4
X2
2
1
12
X3
1
I!
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