Singular Value Decomposition

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Instructions Supporting Material Applet Doesn't Work? Feedback

Supporting Material
Rotate the green vectors x and y until the red vectors Ax and Ay become orthogonal. At that moment x and y are and , Ax and Ay are and .

Instructions
Please enter a matrix whose values are not too big (less than 5) or too small (greater than .1) Otherwise you will have a difficult time interpreting the results. Note that the changes you have made do not register until you hit enter. The color blue will indicate that the value has not been fully entered.
Use your mouse to select the vector on which you want the matrix to operate. You can drag your mouse as well as click, but if you're not on a very fast computer, please drag slowly.
If you're experiencing technical difficulties using the applet please let us know. In your message please indicate your operating system as well as the version of your browser.

Supporting Material
Rotate the green vectors x and y until the red vectors Ax and Ay become orthogonal. At that moment x and y are and , Ax and Ay are and .