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Consider the following statements. (i) If AA is a symmetric matrix, then A must be a square matrix. (ii) If A is an n

Consider the following statements. (i) If AA" is a symmetric matrix, then A must be a square matrix. (ii) If A is an n x n matrix, then tr(cA) = c tr(A). (iii) If A is n x n then A'(A)? = 1. I. Determine which of the above statements are True (1) or False (2).

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