Question

The system of equations αx + y + z = α - 1, x + αy + z = α - 1, and x + y + αz = α - 1 has no solution, if α is

(a) 1

(b) not -2

(c) either -2 or 1

(d) -2

Answer 1

Correct option (d) -2

Explanation:

The system of given equations has no solution, if

But α = 1 makes given three equations same. So, the system of equations has infinite solution. So, answer is α = -2 for which the system of equations has no solution.