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Let P be an n x n orthogonal projection matrix, i.e., P2 = P and...

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Basic Math

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Let P be an n x n orthogonal projection matrix, i.e., P2 = P and PT = P. Which of the following is necessarily true?P has an eigenvalue equal to 0.The rank of P is equal to 2.The rank of P is equal to 1.P has an eigenvalue equal to -1.Each eigenvalue of P is equal to either 0 or 1.

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