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If the system of equations $3 x - 2 y + z = 0, λ x - 14 y + 15 z = 0$ and $x + 2 y - 3 z = 0$ has a solution other than $x = y = z = 0$ , then $λ$ is equal to

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answer is D.

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Detailed Solution

$|A| = 0 \Rightarrow |\begin{matrix} 3 & - 2 & 1 \\ λ & - 14 & 15 \\ 1 & 2 & - 3 \end{matrix}| = 0 \Rightarrow λ = 5$

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