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
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(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.

Consider the ollowing linear system,
2x1
+ x₂ = x3 + 2x4
4x₁ +5x2 − 3x3 + 6x4
-2x1 + 5x2 − 2x3 + 6x4
4x1 + 11x2 − 4x3 + 8x4
=
=
=
5
= 2.
Transcribed Image Text:Consider the ollowing linear system, 2x1 + x₂ = x3 + 2x4 4x₁ +5x2 − 3x3 + 6x4 -2x1 + 5x2 − 2x3 + 6x4 4x1 + 11x2 − 4x3 + 8x4 = = = 5 = 2.
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