3x1 - 2x2+ X3 =-10 2х, + 6х, — 4x, %3 44 — X, — 2х, + 5х; —-26

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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Determine the LU decomposition
Q-a-
with pivoting by hand.
Зх, — 2х, + х, 3-10
2х, + 6х, — 4x; %3D 44
- X1 - 2x2 + 5x3 =-26
Use MATLAB for Q- b, c, d, and e.
Q-b-
Check your results by validating that [L][U] = [A].
solve the system of equations by using the
Q-c-
backslash approach.
Q-d-
Use the inverse to determine the solution.
Determine the matrix inverse. Check your results by
Q-e-
verifying that [A] [A[' = [I ].
Transcribed Image Text:Determine the LU decomposition Q-a- with pivoting by hand. Зх, — 2х, + х, 3-10 2х, + 6х, — 4x; %3D 44 - X1 - 2x2 + 5x3 =-26 Use MATLAB for Q- b, c, d, and e. Q-b- Check your results by validating that [L][U] = [A]. solve the system of equations by using the Q-c- backslash approach. Q-d- Use the inverse to determine the solution. Determine the matrix inverse. Check your results by Q-e- verifying that [A] [A[' = [I ].
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