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Evaluate: \(\begin{vmatrix} a & b &c \\[0.3em] c &a & b \\[0.3em] b& c &a \end{vmatrix}\)

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Evaluate: \(\begin{vmatrix} a & b &c \\[0.3em] c &a & b \\[0.3em] b& c &a \end{vmatrix}\)

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Suppose

On applying column operation C1 → C1 + C2 + C3

Take (a + b + c) common

On applying row operation R2 → R2 - R1, and R3 → R3 - R1

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