[All Steps] Let T: R^3 \rightarrow R^3 be a linear transformation such that


Question: Let \(T: \mathbb{R}^{3} \rightarrow \mathbb{R}^{3}\) be a linear transformation such that

\[T\left(\left[\begin{array}{l} 1 \\ 0 \\ 0 \end{array}\right]\right)=\left[\begin{array}{c} -2 \\ 1 \\ 3 \end{array}\right], \quad T\left(\left[\begin{array}{l} 0 \\ 1 \\ 0 \end{array}\right]\right)=\left[\begin{array}{c} 1 \\ 1 \\ -1 \end{array}\right], \text { and } T\left(\left[\begin{array}{c} 1 \\ 3 \\ -1 \end{array}\right]\right)=\left[\begin{array}{c} -2 \\ 0 \\ 6 \end{array}\right]\]

Calculate \(T\left(\left[\begin{array}{l}1 \\ 2 \\ 0\end{array}\right]\right), T\left(\left[\begin{array}{c}-1 \\ 3 \\ -4\end{array}\right]\right)\), and \(T^{-1}\left(\left[\begin{array}{c}-1 \\ 2 \\ 2\end{array}\right]\right) .\)

Price: $2.99
Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document

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