(a) Consider the following system : x + 2y + z = 3 ay + 5z = 10 2x + 7y + az = b (i)Find those values of a for which the system has a unique solution. (ii) (Find those pairs of values (a, b) for which the system has more than one solution.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
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(a) Consider the following system :
x + 2y + z = 3
ay + 5z = 10
2x + 7y + az = b
(i)Find those values of a for which the system has a unique solution.
(ii) (Find those pairs of values (a, b) for which the system has more than one solution.
Transcribed Image Text:(a) Consider the following system : x + 2y + z = 3 ay + 5z = 10 2x + 7y + az = b (i)Find those values of a for which the system has a unique solution. (ii) (Find those pairs of values (a, b) for which the system has more than one solution.
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