MA 305 Lecture 27 Transparencies

Tuesday, April 30, 2002


Slide 1

Definition of a linear transformation (Audio 00:00-08:00)



 

Slide 2

Example of a linear transformation  (Audio 08:00-11:30)



Slide 3

Example: 2 dimensional rotation by an angle (Audio 11:30-15:30)



 

Slide 4

2D rotation cont. (Audio 15:30-18:00)



 

Slide 5

Matrix representation of a linear map (Audio 18:00-25:00)



 

Slide 6

Inverse of 2D rotation (Audio 25:00-30:30)



 

Slide 7

2D rotation by 90 degrees (Audio 30:30-35:00)



 

Slide 8

Every matrix defines a linear map, properties of linear maps (Audio 35:00-40:00)



 

Slide 9

Definition of kernel and range of map (Audio 40:00-45:00)



 

Slide 10

Example: 3 dimensional rotation around the z axis (Audio 45:00-52:30)



 

Slide 11

Example: 3 dimensional rotation around the x axis (Audio 52:30-62:00)