Question

Consider the following system of equations
$\alpha x + 2y + z = 1$
$2\alpha x + 3y + z = 1$
$3x + \alpha y + 2z = b$
For some $\alpha,\beta∈R$ then which of the following is NOT correct?

• A. It has no solution if α = – 1 and β≠2
• B. It has no solution if α ≠– 1 and β=2
• C. It has no solution if α =3 and for all β≠2
• D. It has no solution if α =– 1 and for all β ∈ R

Answer 1

Answer: (C)

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