en the following equations: 8x + 4y -z = 11 -2x + 5y +z = 4 2x = y + 6z = 7 Solve the following system of equations by LU Decomposition without pivoting. Determine the matrix inverse. Check you results by verifying that [A][A]¯¹ = [1].

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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Given the following equations:
8x + 4y -z = 11
-2x + 5y +z = 4
a) Solve the following system of equations by LU Decomposition without pivoting.
b) Determine the matrix inverse. Check you results by verifying that [A][A]¯¹ = [1].
2x = y + 6z = 7
-
Transcribed Image Text:Given the following equations: 8x + 4y -z = 11 -2x + 5y +z = 4 a) Solve the following system of equations by LU Decomposition without pivoting. b) Determine the matrix inverse. Check you results by verifying that [A][A]¯¹ = [1]. 2x = y + 6z = 7 -
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