Let the system of linear equations 4x + $\lambda$y + 2z = 02x $-$ y + z = 0$\mu$x + 2y + 3z = 0, $\lambda$, $\mu$$\in$R.has a non-trivial solution. Then which of the following is true?

Question

Let the system of linear equations

4x + $\lambda$y + 2z = 0

2x $-$ y + z = 0

$\mu$x + 2y + 3z = 0, $\lambda$, $\mu$$\in$R.

has a non-trivial solution. Then which of the following is true?

$\mu$ = 6, $\lambda$$\in$R

$\lambda$ = 3, $\mu$$\in$R

$\mu$ = $-$6, $\lambda$$\in$R

$\lambda$ = 2, $\mu$$\in$R

Solution

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