Question

The sum of distinct values of λ for which the system of equations 

(λ – 1)x + (3λ + 1)y + 2λz = 0 

(λ – 1)x + (4λ – 2)y + (λ + 3)z = 0 

2x + (3λ + 1)y + 3(λ – 1)z = 0, 

has non-zero solutions, is _____

Answer 1

6λ(λ - 3)² = 0 

λ = 0, 3

Sum = 3