For the following system of linear equations: x + x,+ 4x,9x,7X32x, + 6x,17x,2x24x, + 9x,25х,74x412x,4explain the solution to obtain (x, ,x,,X4,x4,x3) using the Gaussian Elimination procedurewith back substitution.+ the augmented matrix representing the system• the elementary row operations(EROS) according to the Gaussian Elimination method• the row echelon form(REF) of the augmented matrix• the equivalent system from the REF• the declaration of leading variables and free variables• the back substitution in an orderly fashion• the assumption of parameters a, ß, y, etc. for the free variables (if any)the answer for (x,,X2,X3,X4,X3) in the form of (_, _, _, _,)+a(,,_,_,)+..

Answered: Image /qna-images/answer/15a95db3-4ee8-440d-853b-9a49790340c5.jpg

X + x, + 4x, 9х, = 7 X2 2х, + 6х, 17x, = 5 2x2 4x, + 9x, 25х, 12x, = 4 = 7 4x4 explain the solution to obtain (x, ,x,,x, , X4 , X3 ) using the Gaussian Elimination procedure with back substitution. +

X + x, + 4x, 9х, = 7 X2 2х, + 6х, 17x, = 5 2x2 4x, + 9x, 25х, 12x, = 4 = 7 4x4 explain the solution to obtain (x, ,x,,x, , X4 , X3 ) using the Gaussian Elimination procedure with back substitution. +

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.2: Guassian Elimination And Matrix Methods

Problem 84E: Explain the differences between Gaussian elimination and Gauss-Jordan elimination.

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Question

For the following system of linear equations:

x + x,
+ 4x,
9x,
7
X3
2x, + 6x,
17x,
2x2
4x, + 9x,
25х,
7
4x4
12x,
4
explain the solution to obtain (x, ,x,,X4,x4,x3) using the Gaussian Elimination procedure
with back substitution.
+

the augmented matrix representing the system
• the elementary row operations(EROS) according to the Gaussian Elimination method
• the row echelon form(REF) of the augmented matrix
• the equivalent system from the REF
• the declaration of leading variables and free variables
• the back substitution in an orderly fashion
• the assumption of parameters a, ß, y, etc. for the free variables (if any)
the answer for (x,,X2,X3,X4,X3) in the form of (_, _, _, _,)+a(,,_,_,)+..

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