he system of equations
2x - y + z = 0
x - 2y + z = 0
λx - y + 2z = 0
has infinite number of nontrivial solutions for
- λ = 1
- λ = 5
- λ = -5
- no real value for λ
for non-trivial solution, put the determinant = 0 as shown below,
Thus ,, the system has infinite no. of solutions for λ = 5