Find the rotation matrix that C that transforms the matrix |0| into |3| |5| |4| (the first matrix is 0 5 and the second has 3 4, each vertical)
Last edited by noles2188; Sep 15th 2009 at 09:43 PM. Reason: Clear up matrix
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Hint : look at the vectors (0,5) and (3,4) in the (x,y) plane. What is the angle between them? That's the angle you're looking for; then just find the corresponding rotation matrix.
Another way to do this: Any "rotation" matrix in the plane is of the form with . gives you two equations to solve for a and b. Since the lengths of the two vectors, <0, 5> and <3, 5> are the same, will automatically be satisfied.
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