Find values of a and b such that the system of linear equations (x, y, and z are variables) x + 4y + z = 0 ах + 5у —z %3D 1 2x + by + z = 0 has: (1) exactly one solution, and (2) no solution.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find values of a and b such that the system of linear
equations (x, y, and z are variables)
x + 4y + z = 0
ах + 5y —z %3D 1
2x + by + z = 0
has: (1) exactly one solution, and
(2) no solution.
Transcribed Image Text:Find values of a and b such that the system of linear equations (x, y, and z are variables) x + 4y + z = 0 ах + 5y —z %3D 1 2x + by + z = 0 has: (1) exactly one solution, and (2) no solution.
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