MA 305 Lecture 8 Transparencies

Tuesday, February 15, 2000

Slide 1

Multiplicative inverse of matrix.
Ternary operation.
Commutativity of multiplication for some matrices.
General Linear group GL_n(R).
(Audio part 1, 7:00)

Lecture 8, slide 1

Slide 2

General Linear group GL_n(R) continued.
(Audio part 1, 18:00)

Lecture 8, slide 2

Slide 3

Inverse of matrix transpose.
(Audio part 1, 21:30)

Lecture 8, slide 3

Slide 4

Elementary matrices.
(Audio part 1, 24:00)

Lecture 8, slide 4

Slide 5

Inverses of elementary matrices.
(Audio part 1, 39:00)

Lecture 8, slide 5

Slide 6

Elementary matrices and row echelon form.
LU factorization.
(Audio part 2, 4:00)

Lecture 8, slide 6

Slide 7

Inverses of triangular matrices.
(Audio part 2, 17:30)

Lecture 8, slide 7

Slide 8

Transforming matrix is upper triangular.
(Audio part 2, 22:00)

Lecture 8, slide 8