Consider the following three matrices 0. 1 1 A = C = B = 1 1 1 Matrix C is in RREF OTrue OFalse C is an elementary matrix OTrue OFalse Matrix B is invertible OTrue OFalse B is an elementary matrix OTrue OFalse A-1 A OTrue OFalse Matrix B is in REF OTrue OFalse Matrix B is not in RREF OTrue OFalse A is an elementary matrix OTrue OFalse Matrix A is in REF OTrue OFalse Matrix product BC is a 5 x 3 matrix not in REF OTrue OFalse

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