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Answered: A square matrix A is said to be idempotent if A? = A. Show that if A is idempotent, then so is I – A. | bartleby
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5. Let A be an idempotent n × n matrix and let B be an invertible n × n matrix.Prove that the matrix C = B^-1AB is idempotent. (Recall that a matrix A isidempotent if A^2 = A. Be sure to specify which properties of matrices you need ateach step of the proof.)
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