Question: 58. Let A be any *n* *n* idempotent matrix and let *t* be any real number. Show that (I - A)(I - *t*A) is

58. Let A be any *n* × *n* idempotent matrix and let *t* be any real number. Show that

(I - A)(I - *t*A) is an idempotent matrix.

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