Download the app

Questions  

The system of linear equations x+λyz=0,  λxyz=0,  x+yλz=0has a non-trivial solution for

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
a
Infinity many values ofλ
b
Exactly one value of λ
c
Exactly two values of λ
d
Exactly three values of λ

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is D

The system has non-trivial solution ⇒Δ=0⇒1λ-1λ-1-111-λ=0    ⇒λ+1-λ-λ2+1-λ+1=0 ⇒λ(λ2−1)=0⇒λ=0,    ±1∴λ has three values


Similar Questions

If the system of equations xy+z=0, kxy+3z=0, x+2y+3z=0 has non trivial solution then K=

 

 


whats app icon
phone icon