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

Last updated: 8/13/2022

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.