Solve the following homogeneous system of linear equations: 3x1+3x2+3x3 -3x1-3x3-9x4 x1+x3+3x4 -x1-2x2-x3+3x4 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. 0 = 0 0 = 0 The system has infinitely many solutions Number of Parameters: 1 || 0 0 + s 0

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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Solve the following homogeneous system of linear equations:
3x1+3x2+3x3 = 0
-3x1-3x3-9x4 = 0
x₁+x3+3x4 = 0
-x1-2x2-x3+3x4 = 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
0
Transcribed Image Text:Solve the following homogeneous system of linear equations: 3x1+3x2+3x3 = 0 -3x1-3x3-9x4 = 0 x₁+x3+3x4 = 0 -x1-2x2-x3+3x4 = 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 0
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