Math 20F: Linear Algebra, Winter 2006

Office hours: M4-5, WF3-4 and by appointment

Office: APM 5256, tel. 534-2734

Teaching assistants:

Bill Alto, office: APM B301, office hours: MW 3:30-4:30, email: walto@math.ucsd.edu

Jacek Nowacki, office: APM 5301, office hours: M 12-12:50pm, F11-12:50pm email: jnowacki@math.ucsd.edu

Maia Averett, office hours: Th 4-6, office: APM 2301, email: maverett@math.ucsd.edu

Computation of grade: Final 40%, midterm 20%, matlab 15%, quizzes (you may drop your worst score) 15%, homework 10%

Dates of exams/dealines:

Final: March 20, 3-6

Midterm: 2/15

Quizzes: 1/24, 2/7, 2/28, 3/14

Homework to be turned in before beginning of your section on: 1/17, 1/31, 2/14, 2/21, 3/7

Matlab: to be turned in in regular section on Tuesdays. First matlab assignment due on 1/24.

Matlab Matlab sections are on Thursdays at the same time as your regular section. All the sections are in the CLICS Windows Mezzanine Lab. CLICS is in Revelle, next to Revelle Plaza and York Hall. The lab is upstairs by the windows. There are two separate labs there, so you should look for the lab where WENZL 20F is written on the whiteboard. Matlab assignments need to be turned in in sections. Moreover, there will be a short quiz in each section, with the problem taken from the homework assignments, or being a slight variation of a homework problem. There are NO make-up quizzes, but you may drop the worst score of your quizzes.

Course material: We will use the book `Linear Algebra with Applications', 3rd edition, by David C. Lay. For a tentative syllabus for the course click below.

course outline

This course will also include MATLAB problems. You can find the MATLAB assignments at

matlab problems

Homework assignments

Disclaimer: I will try to get the homework assignment on the net in time. Due to time and other limitations, this may not always be possible. The fact that there is no assignment posted for a particular date does therefore NOT necessarily mean that no homework is due.

for 1/16 :: Section 1.1: 10, 12, 20 (`consistent' means that the system has at least one solution, `inconsistent' that it has no solution), Section 1.2: 10, 12, 24, 30

for 1/24 (quiz) :: Section 1.3: 10, 14, 18, 22, Section 1.4: 12, 18, 26,(if you would like to see solutions: do the odd-numbered problem just before the given one - it (usually) is of exactly the same type) Section 1.5: 11, 23, 33, 35,

for 1/31:: Section 1.6: 6, need not turn in problem 10 originally posted here: too messy calculation), Section 1.7: 6, 14, 22, 28, 32, Section 1.8: 4, 16, 20, Section 1.9: 4, 8, 18.

for 2/7 (quiz) :: Section 1.9: 21, Section 2.1: 5, 9, 22, 27, Section 2.2: 7, 13, 31, 35, Section 2.3: 5, 21

for 2/14: Section 2.3: 38, Section 2.5: 10, 18 Section 4.1: 6, 12, 14, Section 4.2: 6, 12, 14, 22, 28

for 2/21: There was a misprint in the original posting as far as the section numbers were concerned. Here is the correct posting: Section 4.3: 4, 8, 16, 20, Section 4.5: 4, 8, 14,

for 2/28 (quiz): Section 4.4: 3, 7, 17, Section 4.6: 3, 7, 13, 21, Section 4.7: 1, 9, 13

for 3/7: Section 3.1: 10, 22, 38, Section 3.2: 8, 20, 34(you can use Prob. 31), Section 3.3: 4, 24 Section 5.1: 8, 16, 26

for 3/14 (quiz): Section 5.2: 5, 11, 19, Section 5.3: 5, 9, 13, Section 6.1: 11, 13, Section 6.2: 3, 9, 21

relevant for final: Section 6.3: 3, 9, 13, Section 6.4: 3, 9, 17ab, 18ab, Section 6.5: 1, 9, Section 7.1: 13, 17(use that the eigenvalues are given), 25ab

Final Essentially the same conditions apply as for the midterm. You are allowed to use one handwritten cheat-sheet, regular size, both sides OK if you think you need them. The material will be mostly taken from after the midterm. Basic notions such as linear independence, span etc have also occurred in problems after the midterm. So you definitely need to know them, even though we first dealt with them before the midterm.

Location: Students in Maia's sections please go to Center 105. The other students will have the final in our class room

Practice final: Below you can find problems given in previous exams, based on a slightly different book. IGNORE problem 3, and replace problem 8 by: Apply Gram-Schmidt to the row vectors of the matrix in problem 8. For problems 9 and 10, you may assume V to be R^n, and for 7 you may assume L to be a linear transformation. Additional problems may be similar to the ones of the last assignment, such as calculating the distance to a subspace, orthogonally diagonalizing symmetric matrices or finding a least square approximation.

practice final pdf-file

Office hours for exam week: William Alto: Saturday, 11-1, (for office and email see above) Maia Averett: Sunday 4-5 (for office and email see above), Monday 11-12 in my office, APM 5256.

Midterm: The midterm will take place on February 15 in class. You are allowed to use one hand-written cheat sheet (normal size), but no calculators, books or other notes. The material will go until the last homework assignment, due on 2/14. The problems will be similar to homework problems. To give you some idea, below is some sample exam.

practice midterm pdf-file


practice final ps-file

Midterm practice finals