1.
Consider the following system of equations
αx+2y+z=1,\alpha x + 2y + z = 1,

2αx+3y+z=1,2\alpha x + 3y + z = 1,

3x+αy+2z=β,3x + \alpha y + 2z = \beta,

for some α,β∈R\alpha, \beta \in \mathbb{R}. Then which of the following is NOT correct?