##### Exercise4

Shown below are vectors $$\vvec_1$$ and $$\vvec_2\text{.}$$ Suppose that the matrix $$A$$ is

\begin{equation*} A = \left[\begin{array}{rr} \vvec_1 \amp \vvec_2 \end{array}\right] \text{.} \end{equation*}

1. What are the dimensions of the matrix $$A\text{?}$$

2. On the plot above, indicate the vectors

\begin{equation*} A\twovec{1}{0}, A\twovec{2}{3}, A\twovec{0}{-3} \text{.} \end{equation*}
3. Find all vectors $$\xvec$$ such that $$A\xvec=\bvec\text{.}$$

4. Find all vectors $$\xvec$$ such that $$A\xvec = \zerovec\text{.}$$

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