Word Count : 150

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Let A be an n×n idempotent matrix (A^2=A). Over any field, A has eigenvalues only 0 or 1: if Ax=λx, then A^2x=λ^2x, but also A^2x=Ax=λx, so λ(λ−1)=0. The minimal polynomial ____ ______ __________ ____ ___ ___ ___ ______.
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