WeBWorK Standalone Renderer

Match each linear transformation with its matrix.

1. $\left[\begin{array}{cc} 1 &0\cr 0 &-1 \end{array}\right]$

2. $\left[\begin{array}{cc} 0 &1\cr 1 &0 \end{array}\right]$

3. $\left[\begin{array}{cc} 1 &0\cr 0 &0 \end{array}\right]$

4. $\left[\begin{array}{cc} 0.5 &0\cr 0 &0.5 \end{array}\right]$

5. $\left[\begin{array}{cc} 0 &-1\cr 1 &0 \end{array}\right]$

6. $\left[\begin{array}{cc} 1 &0\cr 0 &1 \end{array}\right]$

A. Reflection in the $x$ -axis

B. Projection onto the $x$ -axis

C. Reflection in the line $y=x$

D. Identity transformation

E. Rotation through an angle of $90^\circ$ in the counterclockwise direction

F. Contraction by a factor of 2

In order to get credit for this problem all answers must be correct.