Question

Consider the following system of questions 

ax + 2y + z = 1 

2ax + 3y + z = 1 

3x + ay + 2z = b 

For some α,β ∈ \(\mathbb{R}\). Then which of the following is NOT correct.

(1) It has no solution if α = -1 and for all β ≠ 2

(2) It has no solution if α = -1 and for all β ≠ \(\mathbb{R}\)

(3) It has no solution if α = 3 and for all β ≠ 2

(4) It has no solution if α ≠ -1 and for all β = 2

Answer 1

 (2) It has no solution if α = -1 and for all β ≠ \(\mathbb{R}\)