Solve the following homogeneous system of linear equations: x1-4x2+4x3-2x4 -2x1+8x2-8x3+5x4 x1-4x2+4x3+x4 x1 If the system has no solution, demonstrate this by giving a row-echelon form of the augmented matrix for the system. You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. The system has infinitely many solutions Number of Parameters: 1 x2 x3 = 0 = 0 + s 0 0 0 0 0

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 100E
Question

Please make it clear  the number of param

Solve the following homogeneous system of linear equations:
x₁-4x₂+4x3-2x4
= 0
-2x1+8x2-8x3+5x4
= 0
x₁-4x2+4x3+x4
= 0
If the system has no solution, demonstrate this by giving a row-echelon form of the augmented matrix for the system.
You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix.
The system has infinitely many solutions
Number of Parameters: 1
x1
x2
x3
=
0
0
0
0
s 0
0
Transcribed Image Text:Solve the following homogeneous system of linear equations: x₁-4x₂+4x3-2x4 = 0 -2x1+8x2-8x3+5x4 = 0 x₁-4x2+4x3+x4 = 0 If the system has no solution, demonstrate this by giving a row-echelon form of the augmented matrix for the system. You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. The system has infinitely many solutions Number of Parameters: 1 x1 x2 x3 = 0 0 0 0 s 0 0
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