##### Exercise5

Suppose $$T:\real^3\to\real^2$$ is a matrix transformation with $$T(\evec_j) = \vvec_j$$ where $$\vvec_1\text{,}$$ $$\vvec_2\text{,}$$ and $$\vvec_3$$ are as shown in Figure 6.

1. Sketch the vector $$T\left(\threevec{2}{1}{2}\right)\text{.}$$

2. What is the vector $$T\left(\threevec{0}{1}{0}\right)\text{?}$$

3. Find all the vectors $$\xvec$$ such that $$T(\xvec) = \zerovec\text{.}$$

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