##### Activity2.6.2

MATRIX-MULT-2

For the following matrices $$A$$ given below, use the diagram to study the effect of the corresponding matrix transformation $$T(\xvec) = A\xvec\text{.}$$ For each transformation, describe the geometric effect of the transformation on the plane.

1. The matrix $$A=\left[\begin{array}{rr} 2 \amp 0 \\ 0 \amp 1 \\ \end{array}\right]\text{.}$$

2. The matrix $$A=\left[\begin{array}{rr} 2 \amp 0 \\ 0 \amp 2 \\ \end{array}\right]\text{.}$$

3. The matrix $$A=\left[\begin{array}{rr} 0 \amp -1 \\ 1 \amp 0 \\ \end{array}\right]\text{.}$$

4. The matrix $$A=\left[\begin{array}{rr} 1 \amp 1 \\ 0 \amp 1 \\ \end{array}\right]\text{.}$$

5. The matrix $$A=\left[\begin{array}{rr} -1 \amp 0 \\ 0 \amp 1 \\ \end{array}\right]\text{.}$$

6. The matrix $$A=\left[\begin{array}{rr} 1 \amp 0 \\ 0 \amp 0 \\ \end{array}\right]\text{.}$$

7. The matrix $$A=\left[\begin{array}{rr} 1 \amp 0 \\ 0 \amp 1 \\ \end{array}\right]\text{.}$$

8. The matrix $$A=\left[\begin{array}{rr} 1 \amp -1 \\ -2 \amp 2 \\ \end{array}\right]\text{.}$$

in-context