Question: 40. Idempotent Matrices. A matrix P is called idempotent if P2=P. (a) If P is idempotent, show that either det(P)=0 or det(P)=1. (b) If P

40. Idempotent Matrices. A matrix P is called idempotent if P2=P.

40. Idempotent Matrices. A matrix P is called idempotent if P2=P. (a) If P is idempotent, show that either det(P)=0 or det(P)=1. (b) If P is idempotent and P=I show that det(P)=0. (c) Give an example of a matrix (other than the zero matrix) that satisfies part (b)

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