Find values of a, b, and c (if possible) such that the system of linear equations has a unique solution, no solution, and infinitely many solutions. (If not possible, enter IMPOSSIBLE.) x + = 8 y + z = 8 + z = 8 ax + by + cz = 0 (a) a unique solution (a, b, c) = (b) no solution (a, b, c) = (c) infinitely many solutions (a, b, c) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find values of a, b, and c (if possible) such that the system of linear equations has a unique solution, no solution, and infinitely many solutions. (If not possible, enter
IMPOSSIBLE.)
x +
y
= 8
у +
z = 8
z = 8
ax + by + cz = 0
+
(a) a unique solution
(а, b, c) %3D
(b) no solution
(а, b, c) %3D
(c) infinitely many solutions
(а, b, с) %3D
Submit Answer
Transcribed Image Text:Find values of a, b, and c (if possible) such that the system of linear equations has a unique solution, no solution, and infinitely many solutions. (If not possible, enter IMPOSSIBLE.) x + y = 8 у + z = 8 z = 8 ax + by + cz = 0 + (a) a unique solution (а, b, c) %3D (b) no solution (а, b, c) %3D (c) infinitely many solutions (а, b, с) %3D Submit Answer
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