Eigenvalues of a Projection Matrix - Quant Trader Interview Question
Difficulty: Easy
Category: Data Science
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Topics: linear-algebra, eigenvalues, projection, idempotent
Problem Description
A market maker uses a model that involves projecting high-dimensional data onto a lower-dimensional subspace. This projection is represented by a matrix $P$. You discover that the matrix $P$ is idempotent, meaning $P^2 = P$. What are the possible eigenvalues of $P$?
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