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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: 
Average: 4 (2 votes)
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

Anonymous's picture

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.
Anonymous's picture

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.

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