# Eigenvectors and Eigenvalues

- Author:
- maths partner

Matrices can be useful to describe transformations.
Drag points A1 and A2 to define the transformation matrix A.
Then click "Show Vectors" to see where a vector an

**x**will end up after it has been transformed by A. Move the vector**x**around to see where the transformed vector A**x**will end up. Certain vectors will put the transformed vector A**x**, the original vector**x**and the origin O in perfect alignment (i.e. they are*collinear*). We call these vectors**eigenvectors**. When this happens, this must mean that the transformed vector A**x**is just some scalar multiple of the original vector i.e.**x**. We call this scalar**eigenvalue**.