Math 341, Linear algebra and matrix theory

Notes

Practice final: here.
Solutions for practice final: here.

Review sheets:
First exam review is here.
Second exam review is here.
Final exam review is here.

Google pagerank papers: The original paper is here and a nice expository article is here.

Homework #1, due 1/26. From the book (section 1.1), problems 1, 2, 11, 12, 13, 15, 16, 18, 20, 21, 22, 26, 46, and 50.

Homework #2, due 2/1. From the book (section 1.2), problems 2, 5, 9, 13, 20, 24, 28, (section 1.3), problems 4, 9, 13.

Homework #3, due 2/8. From the book (section 1.3), problems 16, 18, 20, 23, 24, 38, 48, 63, 79, section (2.2), problems 4, 7, 8, 18

Homework #4, due 2/21 (extended). From the book (section 2.3), problems 4, 6, 8, 16, 19, 20, 21, 26, 28, 30, 32.

Homework #5, due 3/1, is here.

Homework #6, due 3/8. From the book (section 2.4), problem 32, (section 3.1), problem 8, 11, 12, 23, 30, 32, 63, (section 3.2), 9, 26.
Also, prove that a square matrix A has a left inverse if and only if it has a right inverse (and that the two are equal).
(Addendum: Think about how to make a correct theorem involving the A = LU decomposition.)

Homework #7, optional. From the book (section 2.3), 51, 54, 55, 61, (section 2.4), 31, 34, 36, 40, 48, 49, (section 3.2), 43, 60, 82, 83.

Homework #8, due 3/22. From the book (section 4.1), 1, 4, 14, 34, 35, 39, 43, (section 4.2), 11, 22, 24, 30, 35, 46.

Homework #9, due 4/3. From the book (section 5.1), 2, 3, 12, 15, 16, 22, (section 5.2), 5, 7, 14, 21, 34, 35, 39.

Homework #10, due 4/12. From the book (section 5.2), 53, 54, (section 5.3), 10, 20, 41, 46.

Homework #11, due 4/26. From the book (section 5.3), 37, 50, 54, (section 6.1), 3, 8, 9, 10, 11, 14, 29, 30, 31, 32, 43.

Homework #12, due 5/3. From the book (section 7.1), 4, 5, 7, 11, 19, 30, 38, (section 7.2), 6, 31, 32, 37, 53.