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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"
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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!
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Grading
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.
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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
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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.)
- The one about least squares: 28m+12b-48=0, 12m+6b-20=0
- The one about tables and chairs: 2T+3C=600, 5T+2C=500
- The one about traffic flow: x1+4=x2+5,
x2+2=x3+2, x3+3=x4+3,
x4+4=x1+3
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Homework 02, due Thursday, September 11
§1.1: 1-3, 6abd, 9, 10
§1.2: 2, 5a-d, 7, 13
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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.
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Homework 04, due Thursday, September 25
§3.2: 9abd, 10abc, 11
§1.3: 1a-c, 4
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Homework 05, due Tuesday, October 07
§1.3: 1ef, 2
§4.2: 2, 3, 4
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Homework 06, due Thursday, October 23
§1.4: 9ab(i), 10abeh, 11a, 12a
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Homework 07, due Thursday, October 30
§2.2: 3, 7
§3.2: 4(c)
§3.3: 2, 12
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Homework 08, due Thursday, November 6
§3.3: 11
§3.4: 4, 5, 10
§3.6: 1, 8
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Homework 09, due Tuesday, November 18
§3.5: 1, 2, 5
§4.3: 1abc, 3, 4
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Homework 10, due Tuesday, December 02
§6.1: 1abcgh, 2, 22
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Homework 11, due Tuesday, December 09
§6.2: 1ac
§6.3: 1cd, 20 (look also at 21, 22)