MA 305 Lecture 9 Transparencies

Tuesday, February 22, 2000

Slide 1

Elementary matrices: EI, EII, EIII.
Transformation matrix for row echelon form.
LU factorization.
(Audio part 1, 5:30)

Lecture 9, slide 1

Slide 2

LU factorization and solving systems of equations.
Forward substitution.
(Audio part 1, 41:00)

Lecture 9, slide 2

Slide 3

Forward substitution example.
Operation counts: REF, substitution.
(Audio part 2, 3:00)

Lecture 9, slide 3

Slide 4

Implicit LU factorization vs. explicit LU factorization.
(Audio part 2, 7:00)

Lecture 9, slide 4

Slide 5

RREF and nonsingular matrices.
Proof of theorem.
(Audio part 2, 13:00)

Lecture 9, slide 5

Slide 6

Proof continues.
(Audio part 2, 26:00)

Lecture 9, slide 6