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 = 2 y + z = 2 ax + by + cz = 0 (a) a unique solution (a, b, c) = (b) no solution (a, b, c) = (c) infinitely many solutions (a, b, c) = | | IMPOSSIBLE
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 = 2 y + z = 2 ax + by + cz = 0 (a) a unique solution (a, b, c) = (b) no solution (a, b, c) = (c) infinitely many solutions (a, b, c) = | | IMPOSSIBLE
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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Note:- Please need all possible answers for Unique Solution, Infinitely many solutions, or IMPOSSIBLE.
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.)
х+
y
= 2
y +
z = 2
+
z = 2
ax + by + cz = 0
(a) a unique solution
(a, b, c) =
(b) no solution
(a, b, c) =
(c) infinitely many solutions
(а, b, с) %3D
IMPOSSIBLE
Expert Solution
Step 1
We have the following system of linear equation-
x + y = 2.......(1)
y + z = 2.........(2)
x + z = 2.........(3)
ax + by + cz = 0.........(4)
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