Using properties of determinants prove that: \( \mathrm{P} \) \[ \l...

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Using properties of determinants prove that:
\( \mathrm{P} \)
\[
\left|\begin{array}{lll}
x-3 & x-4 & x-\alpha \\
x-2 & x-3 & x-\beta \\
x-1 & x-2 & x-\gamma
\end{array}\right|=0
\]
W)
where \( \alpha, \beta, \gamma \) are in AP.
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