The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. 14 -2 -3 1] 00 13-5 -1 -4 -2 -9 19 O x1=-9-4x2-3x4 X₂ is free x3 = -5-3x4 X₂ = 0 Ox₁=-9-4x₂-3x4 X₂ is free x3 = -5-3x4 x is free. Ox₁--9-4x2-3x3 X2=-5-3x3 X is free Ox₁=-4x2+2x+3x+1 X2 is free x3--5-3x4 X is free

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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The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state
that there is no solution.
14 -2 -3 1
00 13-5
-1-4 -2 -9 19
O x1 = -9-4x₂-3x4
X₂ is free
x3 = -5-3x4
X4 = 0
Ox₁=-9-4x₂-3x4
X₂ is free
x3 = -5-3x4
X₂ is free
Ox₁=-9-4x₂-3x3
X₂=-5-3x3
X3 is free
Ox₁=-4x2+2x+3x+1
X2 is free
X3--5-3x4
X is free
Transcribed Image Text:The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. 14 -2 -3 1 00 13-5 -1-4 -2 -9 19 O x1 = -9-4x₂-3x4 X₂ is free x3 = -5-3x4 X4 = 0 Ox₁=-9-4x₂-3x4 X₂ is free x3 = -5-3x4 X₂ is free Ox₁=-9-4x₂-3x3 X₂=-5-3x3 X3 is free Ox₁=-4x2+2x+3x+1 X2 is free X3--5-3x4 X is free
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