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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.