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 ax + by + cz = 0 (a) a unique solution (а, b, с) - (b) no solution (а, b, с) - (c) infinitely many solutions (а, b, с) -

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 ax + by + cz = 0 (a) a unique solution (а, b, с) - (b) no solution (а, b, с) - (c) infinitely many solutions (а, b, с) -

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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Question

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
(а, ь, с) -
(c) infinitely many solutions
(а, b, с) —

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