Question

\(\begin{vmatrix} 1 & a & bc \\[0.3em] 1 &b & ca \\[0.3em] 1& c&ab \end{vmatrix}\) = \(\begin{vmatrix} 1 & a & a^2 \\[0.3em] 1 &b & b^2 \\[0.3em] 1& c&c^2 \end{vmatrix}\)

Answer 1

On applying row operation R₂ → a R_1, R₂ → b R₂ - R₁ and R₃→ c R₃ - R₃

Hence proved