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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 11 00 1 4 -4 -1-4 0-5 7] O x₁=-7-4x2-5x3 X2=-4-4x3 X3 is free O x₁--7-4x2-5x4 X2 is free X3=-4-4x4 X4 is free O x1=-4x2+2x3+3 x4 + 1 X₂ is free X3--4-4x4 X4 is free O x₁=-7-4x2-5x4 X₂ is free x3 = -4-4x4 X4 = 0

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 11 00 1 4 -4 -1-4 0-5 7] O x₁=-7-4x2-5x3 X2=-4-4x3 X3 is free O x₁--7-4x2-5x4 X2 is free X3=-4-4x4 X4 is free O x1=-4x2+2x3+3 x4 + 1 X₂ is free X3--4-4x4 X4 is free O x₁=-7-4x2-5x4 X₂ is free x3 = -4-4x4 X4 = 0

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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Question 5 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 4 -4 -1-4 0-5 7 O x₁=-7-4x2-5x3 x2 = -4-4x3 X3 is free O x₁=-7-4x2-5x4 X2 is free x3 = -4-4x4 X4 is free O x1=-4x2+2x3 + 3 x4 + 1 X₂ is free x3 = -4-4x4 X4 is free O x₁=-7-4x2-5x4 X2 is free x3 = -4-4x4 X4 = 0 < Previous
Transcribed Image Text:Question 5 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 4 -4 -1-4 0-5 7 O x₁=-7-4x2-5x3 x2 = -4-4x3 X3 is free O x₁=-7-4x2-5x4 X2 is free x3 = -4-4x4 X4 is free O x1=-4x2+2x3 + 3 x4 + 1 X₂ is free x3 = -4-4x4 X4 is free O x₁=-7-4x2-5x4 X2 is free x3 = -4-4x4 X4 = 0 < Previous
Question 4 Determine whether the matrix is in echelon form, reduced echelon form, or ne 12 5 01 9 001 2 Reduced echelon form Echelon form ONeither
Transcribed Image Text:Question 4 Determine whether the matrix is in echelon form, reduced echelon form, or ne 12 5 01 9 001 2 Reduced echelon form Echelon form ONeither
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