Let D be an n n diagonal matrix whose diagonal entries are either 0 or 1. (a) Show that

Chapter 1, Problem 26

(choose chapter or problem)

Let D be an n n diagonal matrix whose diagonal entries are either 0 or 1. (a) Show that D is idempotent. (b) Show that if X is a nonsingular matrix and A = XDX1, then A is idempotent. 2

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