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Suppose three digit numbers A28 , 3B9 an...

Suppose three digit numbers A28 , 3B9 and 52C , where A,B and C are integers between 0 and 9 are divisble by a fixed integer K, prove that the determinant `|{:(A,3,6),(8,9,C),(2,B,2):}|` is also divisble by same integer K

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