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Matrix Applet

Demonstrates 2-d transformations using a matrix

Identifier: 
http://www.falstad.com/matrix/
Rating: 
Average: 3.5 (2 votes)
Creator(s): 
Paul Falstad (www.falstad.com)
Cataloger: 
Douglas Meade
Publisher: 
Paul Falstad
Rights: 
Paul Falstad (www.falstad.com)

Comments

Anonymous's picture

The user selects the columns of the 2x2 standard matrix for a linear transformation by choosing its columns vectors on a graph of R^2. The applet provides a wealth of information about the transformation. The image of a box with an enclosed Z in shown, as well as the real eigenvectors of the matrix. A purple dot appears at the image of the cursor's position, as well as an arrow from the cursor to the dot. Other dots appear at the pre-images of the standard basis vectors. The determinant, trace, and eigenvalues appear beside the graph. This is a lot of information to deliver in one place, and it requires some training to know exactly what one is seeing.
Anonymous's picture

Nice
yasskin's picture

Nice visualization of the action of a 2x2 matrix on an object in the plane.

Dummy View - NOT TO BE DELETED