Linear Transformations In Exercises 922,

Chapter 6, Problem 21

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In Exercises 9–22, determine whether the function is a linear transformation.

\(\begin{array}{l} T: P_{2} \rightarrow P_{2}, T\left(a_{0}+a_{1} x+a_{2} x^{2}\right)= \\ \left(a_{0}+a_{1}+a_{2}\right)+\left(a_{1}+a_{2}\right) x+a_{2} x^{2} \end{array} \),

Text Transcription:

T: P_2P_2, T(a_0 + a_1x + a_2x^2) = (a_0 + a_1 + a_2) + (a_1 + a_2)x + a_2x^2

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