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Which one of the following is wrong? 1....

Which one of the following is wrong? 1. The elements on the main diagonal of a symmetric matrix are all zero 2. The elements on the main diagonal of a skew-symmetric matrix are all zero 3. For any square matrix A, `1/2(A+A')` is symmetric 4. For any square matrix A, `1/2(A-A')` is skew-symmetric

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Which one of the following is wrong? (A) The elements on the main diagonal of a symmetric matrix are all zero (B) The elements on the main diagonal of a skew - symmetric matrix are all zero (C) For any square matrix A,AA' is symmetric (D) For any square matrix A,(A+A')^(2)=A^(2)+(A')+2AA'

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