1.
Consider the system of linear equations
x+y+z=5,x + y + z = 5,

x+2y+λ2z=9,x + 2y + \lambda^2 z = 9,

x+3y+λz=μ,x + 3y + \lambda z = \mu,

where λ,μ∈R\lambda, \mu \in \mathbb{R}. Then, which of the following statements is NOT correct?