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*}

<<SVG image is unavailable, or your browser cannot render it>>

  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 \(A\xvec = \zerovec\text{.}\)

in-context