Let A be an n n matrix such that A2 O. Prove thatrank(A) n2. [Hint: Show that col(A)

Chapter 3, Problem 3.5.65

(choose chapter or problem)

Let A be an n n matrix such that A2 O. Prove thatrank(A) n2. [Hint: Show that col(A) null(A) anduse the Rank Theorem.]

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