MA 305 Lecture 15 Transparencies

Tuesday, March 5, 2002


Slide 1

Homework 2, problem 4C (Audio 01:30-12:00)



 

Slide 2

Vector orientation, C++ example (Audio 12:00-25:30)



Slide 3

Properties of vector spaces(Audio 25:30-34:30)



 

Slide 4

Definition of a subspace(Audio 34:30-40:30)



 

Slide 5

Examples of subspaces (Audio 40:30-46:00)



 

Slide 6

More examples of subspaces(Audio 46:00-50:00)



 

Slide 7

Example of a plane in 3 space as a subspace(Audio 50:00-52:30)



 

Slide 8

Parameterization of the plane, example of a line(Audio 52:30-66:00)



 

Slide 9

Implicitation of the line example (Audio 66:00-71:00)



 

Slide 10

Example of a set which is not a subspace (Audio 71:00-75:00)



 

Slide 11

How the example fails condition 1 of the subspace definition (Audio 75:00-75:30)