MA 305 Lecture 7 Transparencies

Thursday, February 10, 2000

Slide 1

Application of matrix product: adjacency matrix of directed acyclic graph (DAG).
(Audio part 1, 4:15)

Lecture 7, slide 1

Slide 2


(Audio part 1, 13:00)

Application of matrix product: adjacency matrix of directed acyclic graph (DAG) continued.

Lecture 7, slide 2

Slide 3

Matrix transposition.
(Audio part 1, 26:00)

Lecture 7, slide 3

Slide 4

Matrix transposition continued.
Special matrices: zero matrix, identity matrix.
(Audio part 1, 30:00)

Lecture 7, slide 4

Slide 5

Properties of identity matrix.
Unit vector.
(Audio part 1, 38:30)

Lecture 7, slide 5

Slide 6

Column and row vectors. (Maple has no distinction.)
Identity matrix as block matrix.
Block matrices.
(Audio part 2, 5:15)

Lecture 7, slide 6

Slide 7

Block matrix multiplication.
Diagonal matrices.
(Audio part 2, 16:00)

Lecture 7, slide 7

Slide 8

Triangular matrices.
Matrix inverses.
(Audio part 2, 23:00)

Lecture 7, slide 8

Slide 9

Matrix inverses continued.
Singular matrices.
(Audio part 2, 27:00)

Lecture 7, slide 9