# Gram-Schmidt Process in Two Dimensions

This application illustrates the Gram-Schmidt process in two dimensions with several steps.

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

## Comments

### result is easily anticipated

This application allows users to manipulate two vectors $v_1$ and $v_2$. Also shown are the orthogonal projection of $v_2$ onto v1 and the new Gram-Schmidt vectoirs $u_1=v_1$ and $u_2$. Since two vectors are used in two dimensions, the result is easily anticipated.

### Not extremely extensive but effective

Not extremely extensive but effective for what it does: allows user to choose two vectors in $\mathbf{R}^2$ and displays corresponding GS vectors. It would be nice if user could enter and/or see values in the two vectors.