X2 x3 = 0 2x2 + 3.x3 4.x2 + ax3 For what value(s) of a does the system have exactly one solution? For what value(s) of a does the system have infinitely many solutions? Can this system be inconsistent?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.4: Solve Systems Of Equations With Three Variables
Problem 195E: How can you tell when a system of three linear equations with three variables has no solution?...
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x2
+
x3
= 0
+ 2.x2 + 3.x3
4.x2 + ax3
%3D
For what value(s) of a does the system have exactly one solution?
For what value(s) of a does the system have infinitely many solutions?
Can this system be inconsistent?
Transcribed Image Text:x2 + x3 = 0 + 2.x2 + 3.x3 4.x2 + ax3 %3D For what value(s) of a does the system have exactly one solution? For what value(s) of a does the system have infinitely many solutions? Can this system be inconsistent?
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