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2. Given the linear system of equations; X₁+2, X2 -2x₁ +x₂ 3x₂ -X₂ +2x4+x=6 a) Is the system under determined or overdetermined? b) Write the augmented matrix of the system. c) Write the reduced row echelon form of the augmented matrix. d) Is the system consistent or inconsistent? e) Is the consistency theorem applicable for this system? f) write all solutions if exist. X3 +4x3 +4 -xs = 5 =4

2. Given the linear system of equations; X₁+2, X2 -2x₁ +x₂ 3x₂ -X₂ +2x4+x=6 a) Is the system under determined or overdetermined? b) Write the augmented matrix of the system. c) Write the reduced row echelon form of the augmented matrix. d) Is the system consistent or inconsistent? e) Is the consistency theorem applicable for this system? f) write all solutions if exist. X3 +4x3 +4 -xs = 5 =4

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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2. Given the linear system of equations; X1+2, X2 -X5 = 5 =4 -2x₁+x2 3x₁ -X2 +2x4+x5 = 6 a) Is the system under determined or overdetermined? b) Write the augmented matrix of the system. c) Write the reduced row echelon form of the augmented matrix. d) Is the system consistent or inconsistent? e) Is the consistency theorem applicable for this system? f) write all solutions if exist. X3 +4x3 +4
Transcribed Image Text:2. Given the linear system of equations; X1+2, X2 -X5 = 5 =4 -2x₁+x2 3x₁ -X2 +2x4+x5 = 6 a) Is the system under determined or overdetermined? b) Write the augmented matrix of the system. c) Write the reduced row echelon form of the augmented matrix. d) Is the system consistent or inconsistent? e) Is the consistency theorem applicable for this system? f) write all solutions if exist. X3 +4x3 +4
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