Let the three digit numbers A28,3B9 and ...

Let the three digit numbers A28,3B9 and 62C, where A,B and C are integers between 0 and 9 , be divisible by a fixed integer k. Show that the determinant `|(A,3,6),(8,9,C),(2,B,2)|` is divisible by k.

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Suppose that digit numbers A28,3B9 and 62 C, where A,B and C are integers between 0 and 9 are divisible by a fixed integer k, prove that the determinant |{:(A,3,6),(8,9,C),(2,B,2):}| is also divisible by k.

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Let the three digit numbers A28,3B9 and 62C, where A,B and C are integers between 0 and 9 , be divisible by a fixed integer k. Show that the determinant `|(A,3,6),(8,9,C),(2,B,2)|` is divisible by k.

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