A matrix A is idempotent if A2 A Show that the only possible eigenvalues of an idempotent matrix are 0 and 1 Then give an example of a matrix that is idempotent and has both of these two values as eigenvalues

Question: A matrix A is idempotent if A2 = A. Show that the only possible eigenvalues of an idempotent matrix are = 0 and

A matrix A is idempotent if A2 = A. Show that the only possible eigenvalues of an idempotent matrix are λ = 0 and λ = 1. Then give an example of a matrix that is idempotent and has both of these two values as eigenvalues.

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