ROTATION ROTATION ROTATION ROTATION ROTATION Pamela Leutwyler.

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ROTATION ROTATION ROTATION ROTATION ROTATION Pamela Leutwyler

problem: Rx = the counterclockwise rotation of x through 30 degrees. Find a matrix for the linear mapping R.

To find a matrix for a linear mapping relative to the standard basis, We must observe the effect of the mapping on each basis vector: Rotate conterclockwise through 30 degrees: Rotate conterclockwise through 30 degrees: First column Second column

= = the 30 degree rotation of

This can be generalized: = the  degree rotation of