Least Squares Solutions and the Singular Value Decomposition
with Interactive Graphics

• Your homework assignment
• Basics
• Linear Transformations
• Independent Controls
• Orthogonal Controls
• Singular Values
• Three steps to compute A x
• Singular Value Decomposition
• Fundamental equations
• Three steps to solve A x = y
• Solving A x = y by the numbers
• Column space and nullspace
• General solutions
• Least Squares Solutions
• Least Squares Solutions by the numbers
• Generalize to m by n
• Inverse of A
• Pseudo-inverse of A
• Review by the numbers
• Hand computation of SVD

Copyright © 2007 Todd Will
Created by Mathematica  (April 14, 2007)