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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. 1 4-2-3 1 0 0 1 3-2 -1 -4 4 9-5 O A. x₁ = 4x₂ + 2x3 + 3x4 +1 X₂ is free x3 = -2-3x4 X₂ is free OC. X₁-3-4x2-3x4 X₂ is free x3 = -2-3x4 X₂ is free OB. x₁=-3-4x₂-3x4 X₂ is free x3 = -2-3x4 X4=0 O D. There is no solution.

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. 1 4-2-3 1 0 0 1 3-2 -1 -4 4 9-5 O A. x₁ = 4x₂ + 2x3 + 3x4 +1 X₂ is free x3 = -2-3x4 X₂ is free OC. X₁-3-4x2-3x4 X₂ is free x3 = -2-3x4 X₂ is free OB. x₁=-3-4x₂-3x4 X₂ is free x3 = -2-3x4 X4=0 O D. There is no solution.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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. 1 4 -2 -3 1 0 0 1 3-2 -1 9-5 -4 4 O A. x₁ = - 4x₂ + 2x3 + 3x4 +1 X₂ is free x3 = -2-3x4 X₂ is free O C. x₁ = -3-4x2 - 3x4 X₂ is free x3 = -2-3x4 X₂ is free B. x₁=-3-4x₂-3x4 X₂ is free x3 = -2-3x4 x₂ = 0 O D. There is no solution.
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. 1 4 -2 -3 1 0 0 1 3-2 -1 9-5 -4 4 O A. x₁ = - 4x₂ + 2x3 + 3x4 +1 X₂ is free x3 = -2-3x4 X₂ is free O C. x₁ = -3-4x2 - 3x4 X₂ is free x3 = -2-3x4 X₂ is free B. x₁=-3-4x₂-3x4 X₂ is free x3 = -2-3x4 x₂ = 0 O D. There is no solution.
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