Question: 46. A square matrix A is said to be idempotent if A = A. (a) Show that if A is idempotent, then so is I

46. A square matrix A is said to be idempotent if A = A. (a) Show that if A is idempotent, then so is I - A. (b) Show that if A is idempotent, then 2A - I is invertible and is its own inverse

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