An applet illustrating the transformation $T_A : \R^2 \to \R^2$, for $A$ the $2 \times 2$ matrix shown. The black vector is the input $\vx$, and the blue vector is the output $\color{blue} T_A(\vx) = A \vx$.

 
Reflection in $x$-axis.
Reflection in $y$-axis.
Projection onto $x$-axis.
Rotation by $90^\circ$ ccw.
Rotate and scale.
Example A from Lecture 23.
A rank 1 example.
Custom:

(Click to move input vector. Hit 't' to toggle modes. Click on a phrase to the right to change the matrix. Enter four numbers, separated by spaces, for a custom matrix.)