MA 305 Lecture 25 Transparencies

Tuesday, April 23, 2002

Slide 1

Gram-Schmidt process (Audio 5:00-12:00)

Slide 1


 

Slide 2

Examples of orthogonal bases (Audio 12:00-18:00)


Slide 3

Proof that orthogonal vectors are linearly independent (Audio 18:00-22:00)


 

Slide 4

Finding the coordinates of a vector according to an orthogonal basis (Audio 22:00-30:30)


 

Slide 5

Computing least squares through orthogonal bases (Audio 30:30-36:00)


 

Slide 6

Geometric reasoning behind Gram-Schmidt process (Audio 36:00-50:00)


 

Slide 7

Example of Gram-Schmidt process (Audio 50:00-54:30)


 

Slide 8

Example cont. (Audio 54:30-56:00)