## Samuel Coskey / Courses / Matrix algebra 160.51, Fall 2008

• #### Course information

Course title: Matrix algebra
Meeting times: TTh (5:35-6:50pm)
Meeting place: HW-411
Office hours: Tuesday at 4-5pm in HE-924
Textbook: Leon, "Linear Algebra with Applications"
• #### Exam dates

First midterm: Tuesday, October 7 (pdf)
Second midterm: Thursday, November 13 (pdf)
Final exam: Take-home Tuesday, December 16; Turn-in Friday, December 19 before 5pm (pdf)

Final exam instructions:
• You may not use human resources (each other, tutors, etc.)
• You may use written resources (the book, wikipedia, etc.)
• Do not copy written references directly; what you write must be in your own voice
• In problem 4, you are given a choice; choose only one and mark it clearly!
• Email me corrections, and I'll post them here. Check back for updates!

Exams: Each exam counts for about 1/4 of your grade.
Homework: Homework will count for about 1/4 of your grade. I will assign and collect homework on a week-to-week basis. Much of the homework will be graded credit/no-credit. A few problems of greater importance will be graded carefully. There will be roughly eleven homeworks, out of which I'll drop your lowest.
• #### Courses topics

(Not necessarily in order)
• Systems of linear equations
• Row reduction of matrices and echelon forms
• Vectors in Euclidean space
• The matrix of a linear transformation
• The determinant of a matrix
• Linear independence and bases
• Spanning sets, range and null space
• Change of basis
• Eigenvectors and diagonalization
• Applications
• #### Homework 01, due Tuesday, September 02

Solve the three systems of linear equations from class. (Let me know if I have made a mistake in transcribing them.)
1. The one about least squares: 28m+12b-48=0, 12m+6b-20=0
2. The one about tables and chairs: 2T+3C=600, 5T+2C=500
3. The one about traffic flow: x1+4=x2+5, x2+2=x3+2, x3+3=x4+3, x4+4=x1+3
• #### Homework 02, due Thursday, September 11

§1.1: 1-3, 6abd, 9, 10
§1.2: 2, 5a-d, 7, 13
• #### Homework 03, due Thursday, September 18

§1.2: 6, 9, 10, 19
Also do problem 1.2.3, and express your answers in parametric vector form.
• #### Homework 04, due Thursday, September 25

§3.2: 9abd, 10abc, 11
§1.3: 1a-c, 4
• #### Homework 05, due Tuesday, October 07

§1.3: 1ef, 2
§4.2: 2, 3, 4
• #### Homework 06, due Thursday, October 23

§1.4: 9ab(i), 10abeh, 11a, 12a

§2.2: 3, 7
§3.2: 4(c)
§3.3: 2, 12
• #### Homework 08, due Thursday, November 6

§3.3: 11
§3.4: 4, 5, 10
§3.6: 1, 8
• #### Homework 09, due Tuesday, November 18

§3.5: 1, 2, 5
§4.3: 1abc, 3, 4
• #### Homework 10, due Tuesday, December 02

§6.1: 1abcgh, 2, 22
• #### Homework 11, due Tuesday, December 09

§6.2: 1ac
§6.3: 1cd, 20 (look also at 21, 22)