MA 305 Lecture 21 Transparencies

Thursday, April 13, 2000

Slide 1

Dual relationship of orthogonal complement.
Example from Exam 2.
(Audio part 1, 4:00)

Lecture 21, slide 1

Slide 2

Example from Exam 2 continued.
(Audio part 1, 10:00)

Lecture 21, slide 2

Slide 3

Example from Exam 2 continued (inner products).
(Audio part 1, 17:00)

Lecture 21, slide 3

Slide 4

Orthogonal projection in R3.
Normal equations.
(Audio part 1, 23:30, and part 2, 29:00)

Lecture 21, slide 4

Slide 5

Example from Exam 2 (again).
(Audio part 1, 39:00; and part 2, 3:00, 4:30, 6:00, and 12:00)

Lecture 21, slide 5

Slide 6

Measuring distance: Different norms.
(Audio part 2, 10:00 and 15:00)

Lecture 21, slide 6

Slide 7

Manhattan norm.
Balls of different norms.
Triangular inequality.
(Audio part 2, 16:00)

Lecture 21, slide 7

Slide 8

Normal equations.
Method of Least Squares.
(Audio part 2, 24:00)

Lecture 21, slide 8