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

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.5: Cramer's Rule
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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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