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Which one of the following is a fallacy?

$\begin {array} {1 1} (A)\;\text{The elements on the main diagonal of a symmetric matrix are all zero.} \\ (B)\;\text{The elements on the main diagonal of a skew-symmetric matrix are all zero.} \\ (C)\;\text{For any square matrix $ A, \large\frac{1}{2}(A+A’)$  is symmetric}\\ (D)\;\text{For any square matrix  $A, \large\frac{1}{2}(A-A’)$  is skew-symmetric.} \end {array}$

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