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Write the value of `|(a-b, b- c, c-a),(b-c, c-a, a-b),(c-a, a-b, b-c)|`

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#### Solution

Let Δ = `|(a-b, b- c, c-a),(b-c, c-a, a-b),(c-a, a-b, b-c)|`

By R_{1} → R_{1} + R_{2} + R_{3}

⇒ Δ = `|(0, 0, 0),(b-c, c-a, a-b),(c-a, a-b, b-c)|` = 0 ...(as all elements of R_{1} are zero).

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