MA 305 Lecture 21 Transparencies

Thursday, February 21, 2002

Slide 1

Review of scalar product and orthogonality.

Slide 1


 

Slide 2

Orthogonal projection onto a vector


Slide 3

Example of orthogonal projection


 

Slide 4

Projection onto a plane


 

Slide 5

Least squares


 

Slide 6

Least squares cont.


 

Slide 7

Least squares application, Orthogonal subspaces


 

Slide 8

Examples of orthogonal subspaces and orthogonal complements


 

Slide 9

Method to compute the orthogonal complement

Slide 10

Proof of method to compute the orthogonal complement, dimension of the complement