Question: By definition, A is idempotent if A2 = A, and B is nilpotent if Bm = 0 for some positive integer m. Give examples (different

By definition, A is idempotent if A2 = A, and B is nilpotent if Bm = 0 for some positive integer m. Give examples (different from 0 or I). Also give examples such that A2 = I (the unit matrix).

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