Consider the ollowing linear system, 2x1 + x₂ − x3 + 2x4 - 4x₁ +5x₂ − 3x3 + 6x4 - -2x1 +5x2 - 2x3 + 6x4 4x₁ +11x2 - 4x3 + 8x4 = 5 = = 4 = 2.
Consider the ollowing linear system, 2x1 + x₂ − x3 + 2x4 - 4x₁ +5x₂ − 3x3 + 6x4 - -2x1 +5x2 - 2x3 + 6x4 4x₁ +11x2 - 4x3 + 8x4 = 5 = = 4 = 2.
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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Question
(a) Explain how to find this system has a unique solution or not.
(b) Write down the Augmented matrix for the system ( i.e. write down Aug(A)).
(c) Find the upper triangular matrix U.
(d) Using the Gaussian elimination method, find the solution of the linear system. Show your works to
get full credit.
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