Question: True and False question: (i) If A is a n x n matrix and AT A = A, then A = A2. (ii) If B

True and False question:

(i) If A is a n x n matrix and AT A = A, then A = A2. (ii) If B is a 2 x 2 matrix such that B2 = 0, then B = 0. (iii) A general homogeneous system of n 2 2 linear equations in n unknowns may not have any solutions

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