?Find the Standard Matrix For each linear transformation \(T: R^{n} \rightarrow R^{m}\)

Chapter 5, Problem 39

(choose chapter or problem)

Find the Standard Matrix For each linear transformation \(T: R^{n} \rightarrow R^{m}\) in Problems 33-40, determine the standard matrix A such that \(T(\bar{v})=A \bar{v}\).

\(T\left(v_{1}, v_{2}, v_{3}\right)=\left(v_{1}+2 v_{2}, v_{3}-v_{1}+4 v_{2}+3 v_{3}\right)\)

Equation Transcription:

Text Transcription:

T:R^n right arrow R^m

T(bar v) = A bar v

T(v_1 , v_2 , v_3 ) = (v_1 + 2v_2 , v_3 - V_1 + 4v_2 + 3v_3 )

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