$\mathbb{R}^3 \rightarrow \mathbb{R}^2$ is a linear transformation where $\begin{aligned} T\begin{pmatrix} -1 \ 6 \end{pmatrix} = \begin{pmatrix} 2 \ -3 \end{pmatrix} \text{ and } T\begin{pmatrix} 5 \ -3 \end{pmatrix} = \begin{pmatrix} 1 \ 7 \end{pmatrix} \end{aligned}$ T linear to calculate $T\begin{pmatrix} 32 \ -6 \ -30 \end{pmatrix}$
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This means that the linear transformation T does not change the vector [3]. Show more…
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