Given, system of linear equations 4x+λy+2z=0 2x−y+z=0 µx+2y+3z=0 For non-trivial solution, ∆=0 |
4
λ
2
2
−1
1
µ
2
3
|=0 ⇒‌4(−3−2)−λ(6−µ)+2(4+µ)=0 ⇒‌−λ(6−µ)−2(6−µ)=0 ⇒‌(6−µ)(λ+2)=0 ⇒‌‌λ=−2‌ and ‌µ∈R‌ or ‌µ=6‌ and ‌λ∈R.