Exercise 3

For both parts of this exercise, give a geometric description of sets of the vectors $\bvec$ and include a sketch.

1. For which vectors $\bvec$ in $\real^2$ is the equation $$\left[\begin{array}{rr} 3 & -6 \\ -2 & 4 \\ \end{array}\right] \xvec = \bvec$$ consistent?

2. For which vectors $\bvec$ in $\real^2$ is the equation $$\left[\begin{array}{rr} 3 & -6 \\ -2 & 2 \\ \end{array}\right] \xvec = \bvec$$ consistent?