1. Consider the ollowing linear system, E 2x₁ + x₂x3 + 2x4 4x1 + 5x2 − 3x3 + 6x4 -2x1 + 5x2 - 2x3 + 6x4 4x1 + 11x2 − 4x3 + 8x4 5 9 4 = 2. = = = Explain how to find this system has a unique solution or not. Write down the Augmented matrix for the system ( i.e. write down Aug(A)). Find the upper triangular matrix U. Using the Gaussian elimination method, find the solution of the linear system.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 14CT
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1. Consider the ollowing linear system,
මම
2x₁ + x₂x3 + 2x4
4x1 + 5x2 − 3x3 + 6x4
-2x1 + 5x2 - 2x3 + 6x4
4x1 + 11x2 − 4x3 + 8x4
5
9
4
= 2.
=
=
=
Explain how to find this system has a unique solution or not.
Write down the Augmented matrix for the system ( i.e. write down Aug(A)).
Find the upper triangular matrix U.
Using the Gaussian elimination method, find the solution of the linear system.
Transcribed Image Text:1. Consider the ollowing linear system, මම 2x₁ + x₂x3 + 2x4 4x1 + 5x2 − 3x3 + 6x4 -2x1 + 5x2 - 2x3 + 6x4 4x1 + 11x2 − 4x3 + 8x4 5 9 4 = 2. = = = Explain how to find this system has a unique solution or not. Write down the Augmented matrix for the system ( i.e. write down Aug(A)). Find the upper triangular matrix U. Using the Gaussian elimination method, find the solution of the linear system.
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