Exercise5

Describe geometric effect that the following matrices have on \(\real^2\text{:}\)

  1. \(A = \left[\begin{array}{rr} 2 \amp 0 \\ 0 \amp 2 \\ \end{array}\right]\)

  2. \(A = \left[\begin{array}{rr} 4 \amp 2 \\ 0 \amp 4 \\ \end{array}\right]\)

  3. \(A = \left[\begin{array}{rr} 3 \amp -6 \\ 6 \amp 3 \\ \end{array}\right]\)

  4. \(A = \left[\begin{array}{rr} 4 \amp 0 \\ 0 \amp -2 \\ \end{array}\right]\)

  5. \(A = \left[\begin{array}{rr} 1 \amp 3 \\ 3 \amp 1 \\ \end{array}\right]\)

in-context