If the system of equations 2x + 5y + 8z = 0, x + 4y + 7z = 0, 6x + 9y – λz = 0 has a non-trivial solution, then λ is equal to
Answer & explanation
Correct answer: option 2
Here $\begin{vmatrix}2&5&8\\1&4&7\\6&9&λ\end{vmatrix}=0$
⇒ λ = -12.
Hence (B) is the correct answer.