Rotation Matrices
Lewis Blake and David Smith, Duke
University
with the assistance of
Stephanie Fitchett, Duke University
John Michel, Marietta College
Purposes: To introduce the
concept of using matrix multiplication to rotate vectors in two-dimensional
space; to provide motivation for the definition of matrix multiplication; to
lay the groundwork for using matrices to work with graphics.
Prerequisites:
- The Helper Application Tutorial for your computer algebra system
- (For Part 4 only) An understanding of the inverse and transpose of a matrix,
dot products of vectors, and orthogonality of vectors