If the system of equations x+2 y-3 z=2, | vedclass

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Question

$D =\left|\begin{array}{ccc}1 & 2 & -3 \ 2 & \lambda & 5 \ 14 & 3 & \mu\end{array}ight|=0, \lambda \mu+42 \lambda-4 \mu+10

Vedclass · Accepted Answer

$12$

Vedclass · Answer

$D =\left|\begin{array}{ccc}1 & 2 & -3 \ 2 & \lambda & 5 \ 14 & 3 & \mu\end{array}ight|=0, \lambda \mu+42 \lambda-4 \mu+107=0$
$D_1=2 \lambda \mu+99 \lambda-10 \mu+255$
$D_2=13-\mu$
$D_3=5 \lambda+5$
$D_2=0 \Rightarrow \mu=13 \ D_3=0 \Rightarrow \lambda=-1$
check \ verify for these values $D \& D_2=0$

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