# Eigenvectors in 2D

This application allows users to graphically line up vectors and their images to "find" eigenvectors and eigenvalues.

Identifier:
http://demonstrations.wolfram.com/EigenvectorsIn2D/
Rating:
Creator(s):
David K. Watson
Cataloger:
Tom Polaski
Publisher:
Wolfram Demonstrations Project
Rights:
David K. Watson and Wolfram Research
Format Other:
Requires downloading the CDF player from Wolfram (https://www.wolfram.com/cdf-player/).

## Comments

### discover the eigenvectors of the matrix by aligning two arrows

The user selects the coefficients of a 2 by 2 matrix and drags a red arrow about $\mathbf{R}^2$. The application shows the image of the red arrow under the matrix as a blue arrow. The user can then discover the eigenvectors of the matrix by aligning of the two arrows; the corresponding eigenvalue is the ratio of their lengths.

### Simple but effective app

Simple but effective app that demonstrates eigenvalues/vectors graphically. Exact answers are also displayed.