Exercise3

For both parts of this exericse, give a written description of sets of the vectors \(\bvec\) and include a sketch.

  1. For which vectors \(\bvec\) in \(\real^2\) is the equation

    \begin{equation*} \left[\begin{array}{rr} 3 \amp -6 \\ -2 \amp 4 \\ \end{array}\right] \xvec = \bvec \end{equation*}

    consistent?

  2. For which vectors \(\bvec\) in \(\real^2\) is the equation

    \begin{equation*} \left[\begin{array}{rr} 3 \amp -6 \\ -2 \amp 2 \\ \end{array}\right] \xvec = \bvec \end{equation*}

    consistent?

in-context