Linear Transformation Given by a Matrix In Exercises 3338, define the linear
Chapter 6, Problem 35(choose chapter or problem)
In Exercises 33–38, define the linear transformation \(T: R^{n} \rightarrow R^{m}\) by Tv = Av. Find the dimensions of \(R^{n}\) and \(R^{m}\).
\(A=\left[\begin{array}{rrrr} 1 & 0 & 0 & 0 \\ 0 & -1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 2 \end{array}\right] \)
Text Transcription:
T: R^n rightarrow R^m
R^n
R^m
A = [_0^0^0^1 _0^0^-1^0 _0^1^0^0 _2^0^0^0]
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