Solved: Let T be a linear transformation from P2 into P2

Chapter 6, Problem 55

(choose chapter or problem)

Let T be a linear transformation from \(P^{2}\) into \(P^{2}\) such that T(1) = x, T(x) = 1 + x, and \(T(x^{2}) = 1 + x + x^{2}\). Find \(T(2 − 6x + x^{2})\).

Text Transcription:

P_2

T(x^2) = 1 + x + x^2

T(2 - 6x + x^2)

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