**EigenExplorer** is a Java applet designed to explore the
the relationships between a matrix *A*, a vector **x**,
and the matrix-vector product *A***x**.

The blue line represents the vector **x**.
It will always appear as a line from the center to a point on the unit
circle. You can change the vector **x** by moving the mouse around while
holding down the button.

The red line represents the vector
*A***x**, formed by left-multiplying **x** by *A*.
The length of *A***x** changes as **x** changes.

The dark gray circle in the center of the applet represents the unit
circle. The light gray ellipse (activated by pressing the
Trace Ax Vector checkbox) shows the image of
the unit circle under the transformation given by the matrix *A*.

To change the matrix, change the individual values in the upper left-hand corner of the applet.

This applet is part of a package called LAVA: The Linear Algebra Visualization Assistant.