1. ROTATION
ROTATION
ROTATION
ROTATION
ROTATION
Pamela Leutwyler

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

3. 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

4. =
= the 30 degree rotation of

5. This can be generalized:
= the  degree rotation of