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Deside whether the statements below are true or false. If true, explain why true. If false,...

Deside whether the statements below are true or false. If true, explain why true. If false, give a counterexample.
(a) If a square matrix A has a row of zeros, then A is not invertible.
(b) If a square matrix A has all 1s down the main diagonal, then A is invertible.
(c) If A is invertible, then A−1 is invertible.
(d) If AT is invertible, then A is invertible.

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