Determine for what value of' k' the given system x + 2y -z = 1 x + 3y + z = 1 - 4x - 5y + (k²- 9)z = k + 1 Will have i) Unique solution i1) No solution ii1) Infinitely many solutions.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section: Chapter Questions
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linear algebra

Determine for what value of k' the given system
x + 2y -z = 1
x + 3y + z = 1
- 4x - 5y + (k²– 9)z = k + 1
Will have
i)
Unique solution
i1)
No solution
iii)
Infinitely many solutions.
Transcribed Image Text:Determine for what value of k' the given system x + 2y -z = 1 x + 3y + z = 1 - 4x - 5y + (k²– 9)z = k + 1 Will have i) Unique solution i1) No solution iii) Infinitely many solutions.
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