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)