###### Exercise7

Suppose that $$T:\real^2\to\real^2$$ is a matrix transformation and that

\begin{equation*} T\left(\twovec{1}{1}\right) = \twovec{3}{-2}, \qquad T\left(\twovec{-1}{1}\right) = \twovec{1}{2}\text{.} \end{equation*}
1. Find the vector $$T\left(\twovec{1}{0}\right)\text{.}$$

2. Find the matrix $$A$$ that defines $$T\text{.}$$

3. Find the vector $$T\left(\twovec{4}{-5}\right)\text{.}$$

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