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39. If the linear system a₁x + b₁y+c₁z = 0 a₂x-b₂y+c₂z = 0 a₂x + b₂y-c₂z = 0 has only the trivial solution, what can be said about the solu- tions of the following system? a₁x+b₁y+c₁z = 3 a₂x-b₂y+c₂z = 7 a3x + b₂y-c₂z = 11

39. If the linear system a₁x + b₁y+c₁z = 0 a₂x-b₂y+c₂z = 0 a₂x + b₂y-c₂z = 0 has only the trivial solution, what can be said about the solu- tions of the following system? a₁x+b₁y+c₁z = 3 a₂x-b₂y+c₂z = 7 a3x + b₂y-c₂z = 11

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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39. If the linear system a₁x + b₁y+c₁z = 0 a₂x-b₂y + c₂z = 0 a3x + b₂y-c₂z = 0 has only the trivial solution, what can be said about the solu- tions of the following system? a₁x + b₁y+c₁z = 3 a₂x-b₂y+c₂z = 7 a3x + b₂yC₂z = 11
Transcribed Image Text:39. If the linear system a₁x + b₁y+c₁z = 0 a₂x-b₂y + c₂z = 0 a3x + b₂y-c₂z = 0 has only the trivial solution, what can be said about the solu- tions of the following system? a₁x + b₁y+c₁z = 3 a₂x-b₂y+c₂z = 7 a3x + b₂yC₂z = 11
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