Kunze Linear Algebra · Problem 4.2.2

Polynomials

Mathematics — Methods · polynomial-evaluation-linear-operator

Problem

Let TT be the linear operator on R3R^3 defined by T(x1,x2,x3)=(x1,x3,−2x2−x3).T(x_1, x_2, x_3) = (x_1, x_3, -2x_2 - x_3). Let ff be the polynomial over RR defined by f=−x3+2f = -x^3 + 2. Find f(T)f(T).

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