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squares solution x of the normal system in Example 2, and then complete the computations in the example by computing .
If you are successful, then see if you can create a program that will produce the orthogonal projection of a vector u in onto
a subspace W when the user enters u and a set of vectors that spans W.
Suggestion As the first step, have the program create the matrix A that has the spanning vectors as columns.
Check your work by having your program find the orthogonal projection in Example 2.
Section 6.5
T1.
(a) Confirm that and are bases for , and find both transition
matrices.
(b) Find the coordinate vectors with respect to and of .
Copyright © 2005 John Wiley & Sons, Inc. All rights reserved.
