Question
The values of λ for which the system of equations
(λ + 5)x + (λ – 4)y + z = 0
(λ – 2)x + (λ + 3)y + z = 0
λx + λy + z = 0
has a non – trivial solution is (are)

– 1, 2

0, –1

0

None of These
easy
Solution
None of These
Apply R_{1} → R_{1} – R_{3}, R_{2} → R_{2} – R_{3} to get
SIMILAR QUESTIONS
The value of θ lying between θ = 0 and θ = π/2 and satisfying the equation
If pqr ≠ 0 and the system of equations
(p + a)x + by + cz = 0
ax + (q + b)y + cz = 0
ax + by + (r + c)z = 0
has sc non – trivial solution, then value of
The system of equation
ax + by + (aα + b)z = 0
bx + cy + (bα + c)z = 0
(aα + b)x + (bα + c)y = 0
has a non – zero solution if a, b, c are in
The system of equations
ax + ay – z = 0
bx – y + bz = 0
– x + cy + cz = 0
(where a, b, c ≠ – 1 )has a non – trivial solution, then value of
Number of real values of λ for which the system of equations
(λ + 3)x + (λ + 2)y + z = 0
3x + (λ + 3)y + z = 0
2x + 3y + z = 0
has a non – trivial solution is
The values of λ for which the system of equations
2x + y + 2z = 2,
x – 2y + z = – 4
x + y + λz = 4
has no solution is