MA 305 Lecture 14 Transparencies

Thursday, March 9, 2000

Slide 1

Vector Space.
(Audio part 1, 5:30)

Lecture 14, slide 1

Slide 2

Line in R2.
Plane.
(Audio part 1, 14:00 and 20:00)

Lecture 14, slide 2

Slide 3

Plane continued.
Line in R3.
R3 as vector space.
(Audio part 1, 18:30)

Lecture 14, slide 3

Slide 4

Definition of Vector Space.
(Audio part 1, 24:00)

Lecture 14, slide 4

Slide 5

Definition of Vector Space continued.
(Audio part 1, 29:30)

Lecture 14, slide 5

Slide 6

Multiplication by scalar zero.
2-D vectors satisfying axioms: commutativity.
(Audio part 1, 36:00)

Lecture 14, slide 6

Slide 7

2-D vectors satisfying axioms continued: associativity, zero vector, negation, scalar multiplication.
(Audio part 2, 0:00)

Lecture 14, slide 7

Slide 8

2-D vectors satisfying axioms continued: scalar multiplication continued.
Vector space example.
(Audio part 2, 4:00)

Lecture 14, slide 8

Slide 9

Subspace.
(Audio part 2, 19:30)

Lecture 14, slide 9

Slide 10

Subspace continued.
(Audio part 2, 23:00)

Lecture 14, slide 10