Without expanding determinants, prove that (i) | lll a_1 & b_1 & … - Vidyadip

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Without expanding determinants, prove that

(i) $\left|\begin{array}{lll}a_1 & b_1 & c_1 \\ a_2 & b_2 & c_2 \\ a_3 & b_3 & c_3\end{array}\right|=\left|\begin{array}{lll}b_1 & c_1 & a_1 \\ b_2 & c_2 & a_2 \\ b_3 & c_3 & a_3\end{array}\right|=\left|\begin{array}{lll}c_1 & a_1 & b_1 \\ c_2 & a_2 & b_2 \\ c_3 & a_3 & b_3\end{array}\right|$

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