If and , the value of is equal…

MATHEMATICS · Subjective · CBSE · Mathematics · Determinants · Determinants

Problem

If a≠0,b≠0,c≠0a \neq 0, b \neq 0, c \neq 0 and ∣1+a111+b1+2b11+c1+3c1∣=0\begin{vmatrix} 1+a & 1 & 1 \\ 1+b & 1+2b & 1 \\ 1+c & 1+3c & 1 \end{vmatrix} = 0 , the value of ∣a−1+b−1+c−1∣|a^{-1} + b^{-1} + c^{-1}| is equal to

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