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Rotation.md (623B)


      1 # Rotation
      2 
      3 Khan U2
      4 
      5 **Definition:** A rotation is a linear transformation (assuming the rotation axis passes through the zero vector) that rotates about some axis theta degrees **counter clockwise**.
      6 
      7 ## Create Matrix
      8 
      9 To create a matrix to represent a rotation do the following:
     10 
     11 1. Start with identity matrix
     12 2. Calculate each individual basis vector under the rotation we want (use trig)
     13 3. Aggregate the results into a final matrix where each column is the result of the basis vector transformation 
     14 
     15 This is the same way we normally create the [StandardMatrix](StandardMatrix.md) of a L.T. for other transformations.