Questions

If the system of equations $\lambda x+\left(b-a\right)y+\left(c-a\right)z=0,$

a

λ=0

b

λ=1

c

λ=−1

d

None of these

detailed solution

Correct option is A

As the given system of equations has non-trivial ⇒ |λ b−a c−aa−b λ c−ba−c b−c λ|=0 Whenλ=0, then determinant becomes skew-symmetric determinants of odd order, which is equal to zero. Thus, λ=0.

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