Solved: Finding an Image and a Preimage In Exercises 16,

Chapter 6, Problem 1

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In Exercises 1–6, find (a) the image of v and (b) the preimage of w for the linear transformation.

\(T: R^{2} \rightarrow R^{2}, T(v_{1}, v_{2}) = (v_{1}, v_{1} + 2v_{2}), v = (2, −3), w = (4, 12) \)

Text Transcription:

T: R^2 rightarrow R^2, T(v_1, v_2) = (v_1, v_1 + 2v_2), v = (2, −3), w = (4, 12)

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