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.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter8: Linear Functions
Section8.8: Systems Of Linear Equations
Problem 10E
Related questions
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.
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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