# Math 520 S02 (Linear Algebra) - Fall 2015

Time: Tu/Th 9:00 - 10:20 AM

Location: B&H 163

Instructor: Kenny Ascher

kenascher@math.brown.edu

Office Hours: Tues 10:30-11:30, Weds: 11-12PM

#### Textbook:

David C. Lay Linear algebra and its applications 4th edition (this is not the newest one)

Midterms - 40% (2 in class exams)
Homework - 15% (lowest score dropped)
Final - 45%
The cutoff for an A is usually about 90%, below 50% usually means failing.

## Homework

Homework assignments (along with due dates) will be listed on the schedule below. You may work together on homework problems, but you must write up your own solutions. Only homework that is stapled together will be collected, and no late assignments will be accepted.

## Schedule

Week Sections Covered Homework
(1) Sep 10 1.1: Introduction, Solving systems of equations, row reduction.
1.2: Echelon form of a matrix
(Due Thurs Sep 17) 1.1 # 3,7,8,11,13,17. 1.2# 1,2,5,6,7,9,15,16,17,19,26
(2) Sep 15 & 17 1.3: Vector Equations, 1.4: Matrix Equations, 1.5: General solutions of linear systems, 1.7: Linear independence (Due Thurs Sept 24) 1.3# 5,6,9,10,25, 1.4# 1-4,6,7,11,12,15, 1.5#5,8,11,17,18,28-32, 1.7#1-4,5,6,8,11,12,17,18,32
(3) Sep 22 & 24 1.8, 1.9: Linear transformations, 2.1, 2.2: Matrix operations (Due Thurs Oct 1) 1.8#5-8, 15-16,24. 1.9#5,6,15-18. 2.1#1,2,7,11,12. 2.2# 1, 2, 4, 6, 31, 32.
(4) Sep 29 & Oct 1 2.3, 2.4: Properties of Invertible matrices, 2.7: Computer graphics, 2.8, 4.1: Vector spaces and subspaces (Due Thurs Oct 8) 2.3 #3-8, 17-20. 2.4# 5,6. 2.7# 3-6,15-18. 2.8# 1-6, 11, 12. 4.1# 1,2,9,10
(5) Oct 6 & 8 4.3: Basis, 4.4, 4.7: Coordinates, 4.5: Dimension (Due Thurs Oct 15) 4.3# 1-6, 9-11, 13-16, 26. 4.4# 2, 3, 7, 8, 13, 14. 4.7# 1, 2, 7, 8. 4.5# 3, 4, 11-20, 29, 30.
(6) Oct 13 & 15 4.6: Rank, 4.8: Difference Equations (Due Tues Oct 20) 4.6# 1, 2, 4, 5, 6, 8, 15, 16, 23, 24. 4.8# 1-4, 7, 8, 13, 14, 16, 19, 20, 29, 30.
(7) Oct 20 & 22 Review & Midterm (In Class)
(8) Oct 27 & 29 3.1,3.2,3.3: Determinants (Due Tues Nov 3) 3.1# 4, 13, 14. 3.2# 8,12, 15-20, 24, 25, 29, 31-36. 3.3#12, 14, 20-22, 24, 29, 30.
(9) Nov 3 & 5 5.1-5.5 (Eigenvalues, Eigenvectors), 5.6, 6.1, 6.2. (Due Thurs Nov 12) 5.1# 15, 16, 25, 26. 5.2# 3, 4, 7, 8 (just find eigenvalues and eigenvectors), 9, 10. 5.3# 4, 5, 7-12, 19, 20, 25, 26. 5.5# 1, 2. 5.6#1,2. Supp ch 5 ex #18. 6.1#1-8, 14, 24, 26. 6.2#9, 10, 13-15, 26, 27. Linear algebra done wrong* Ch4.2 #2.3, 2.5, 2.6.
(10) Nov 10 & 12 6.3, 6.4, 6.5, 6.6 (Due Tues Nov 17) 6.3#3-6, 7, 8, 13-16 (check orthogonality of the bases!!), 21, 22. 6.4#3, 4, 9-12, 19-20. 6.5# 1-4. 6.6# 3,4, 8a, 9.
(11) Nov 17 & 19 Review & Exam No homework
(12) Nov 24 7.1 & 7.2 (Due Thurs Dec 3) 7.1 # 7-12, 13-18, 23-27, 29-32. Linear algebra done wrong p.150 #6.1, p169 # 2.4,2.5, 2.6, 2.8, 2.10
(13) Dec 1 & Dec 3 7.4: Singular value decomposition (Due Tues Dec 8) 7.2 #4,6, 10, 12. 7.4# 6,8, 16-20. (Due Thurs Dec 10) 7.3 # 3,6. Ch7, #4.1 (A, B, -A, B^2, B^3) in LADW.

Last Updated: 2 Dec 2015