Given the equations 8х1 + 4x2 — хз — 11 — 2х1 + 5х2 + хз — 4 2х1 — х2 + 6х; — 7 a. Solve by LU decomposition b. Determine the matrix inverse. Check your results by verifying that [A][A]¯t=[1]. c. Verify your result in part a and b using matrix operations in Excel.
Given the equations 8х1 + 4x2 — хз — 11 — 2х1 + 5х2 + хз — 4 2х1 — х2 + 6х; — 7 a. Solve by LU decomposition b. Determine the matrix inverse. Check your results by verifying that [A][A]¯t=[1]. c. Verify your result in part a and b using matrix operations in Excel.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 92E
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Subject: Numerical method and analysis
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![Given the equations
8х1 + 4x2 — хз — 11
— 2х1 + 5х2 + хз — 4
2х1 — х2 + 6х; — 7
a. Solve by LU decomposition
b. Determine the matrix inverse. Check your results by verifying
that [A][A]¯t=[1].
c. Verify your result in part a and b using matrix operations in
Excel.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcfce4516-f7ca-45e5-b628-59a9a3686449%2F46e18a74-9e49-44fc-b37f-3c8aebf1a61f%2Ft7api0m_processed.png&w=3840&q=75)
Transcribed Image Text:Given the equations
8х1 + 4x2 — хз — 11
— 2х1 + 5х2 + хз — 4
2х1 — х2 + 6х; — 7
a. Solve by LU decomposition
b. Determine the matrix inverse. Check your results by verifying
that [A][A]¯t=[1].
c. Verify your result in part a and b using matrix operations in
Excel.
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