For matrices in M,, (K) for a field K, which of the following is true (a) the product of two such matrices of rank n necessarily has rank n (b) the set of such matrices of rank 0 necessarily has only one element (c) the sum of two such matrices of rank 1 necessarily has rank 1 Select one: O None of the others apply O (a) yes (b) no (c) no O (a) no (b) yes (c) yes O (a) yes (b) yes (c) no O (a) yes (b) depends in the field, which was not specified (c) no

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