Question

(a) Consider the following system of linear equations:
x +5y +z =0
x+ 6y- z= 0
2x +ay+ bz= c
Find values of a, b, and c such that the above system of linear equations has:
(i) exactly one solution;
(ii) an infinite number of solution;
(iii) no solution

Answer 1

2. An infinite number of solution.