If \( \mathrm{a}^{-1}+\mathrm{b}^{-1}+\mathrm{c}^{-1}=0 \) such that \( \left|\begin{array}{ccc}...

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If \( \mathrm{a}^{-1}+\mathrm{b}^{-1}+\mathrm{c}^{-1}=0 \) such that \( \left|\begin{array}{ccc}1+\mathrm{a} & 1 & 1 \\ 1 & 1+\mathrm{b} & 1 \\ 1 & 1 & 1+\mathrm{c}\end{array}\right|=\lambda \).
\( \mathrm{P} \)
WW then the value of \( \lambda \) is
(1) 0
(2) \( a b c \)
(3) \( -a b c \)
(4) \( 2 a b c \)
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