If and , then the value of…

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

If a−1+b−1+c−1=0a^{-1}+b^{-1}+c^{-1}=0 and ∣1+a1111+b1111+c∣=λ\begin{vmatrix}1+a&1&1\\1&1+b&1\\1&1&1+c\end{vmatrix}=\lambda, then the value of λ\lambda is (a) 0 (b) abcabc (c) −abc-abc (d) None of these

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