# Eigenvectors in 2D

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

Select the coefficients of the matrix and drag the red arrow. The blue arrow shows the result of multiplication by . An eigenvector is represented by the alignment of the two arrows; the eigenvalue is the ratio of their lengths. The arrows can align twice, once, or not at all, depending on whether A has two eigenvalues, a single one, or no real eigenvalues.

Contributed by: David K. Watson (September 2007)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

This was inspired by an example in the ATLAST (Augmenting the Teaching of Linear Algebra through the use of Software Tools) project.

## Permanent Citation

"Eigenvectors in 2D"

http://demonstrations.wolfram.com/EigenvectorsIn2D/

Wolfram Demonstrations Project

Published: September 28 2007