Linear Transformations and Polynomials
From this theorem and the fact that the ring of polynomials is commuta-tive, it should be clear that any two polynomials in the operator T (or matrix A) also commute. This discussion is easily generalized as follows. Let A be any algebra over F with unit element e, and let f = aà + aèx + ~ ~ ~ + añxn be any polynomial in F[x].
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