with the assistance of
Stephanie Fitchett, Duke University
Joshua Holden, Duke University
John Michel, Marietta College
Purpose: To explore the
properties of orthogonal vectors and matrices
Prerequisites:
An understanding
of the transpose, inverse and determinant of a matrix
Definitions of
eigenvalue and eigenvector
Familiarity with
the definitions of orthogonal and orthonormal vectors
An understanding
of subspaces of Rn and the projection of a
vector onto a subspace
*Adapted
in part from exercises in Linear Algebra and Its Applications,
2nd ed., by David C. Lay, and in part from a lab by Lewis Blake, Duke
University.
