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 = 4 y + z = 4 x + z = 4 ax + by + cz = 0 (a) a unique solution(a, b, c) =(b) no solution(a, b, c) =(c) infinitely many solutions (a, b, c) =
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 = 4 y + z = 4 x + z = 4 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
Problem 1RQ
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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 | = | 4 | ||
| y | + | z | = | 4 | ||
| x | + | z | = | 4 | ||
| ax | + | by | + | cz | = | 0 |
(a) a unique solution
(a, b, c) =
(b) no solution
(a, b, c) =
(c) infinitely many solutions
(a, b, c) =
(b) no solution
(a, b, c) =
(c) infinitely many solutions
(a, b, c) =
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