Suppose that digit numbers A28,3B9 and 6...

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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