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solution to question 2 assignment 2

Posted by chaospixel 
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solution to question 2 assignment 2
August 27, 2006 11:31AM
Hi don't understand the solution to question 2 in assignment 2.

* why does the determinant increasing from repeated multiplication mean that the matrix becomes less of a rotation matrix?
* and why does it mean the point will move further and further from the origin?
* and why is the suggested replacement matrix an acceptable replacement?
* and finally why should we have known to test the determinant?

sorry for all the questions, but this one really baffled me.
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