Math 20F: Linear Algebra, Winter 2011

Homework assignments

Homework is to be turned in on Wednesdays by 6pm. There is a mailbox on the 6th floor of APM for this class. For the time being, you can also turn in homework in class. 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 4/6 :: Section 1.1: 3, 10, 12, 15, 23, 25. Section 1.2: 1(a,b), 3, 7, 10, 11, 14, 19, 21. Section 1.3: 5, 11, 17, 21, 25. Section 1.4: 3, 5, 9, 13, 16, 21, 26.

for 4/13: Section 1.5: 6, 7, 11, 19, 24, Section 1.7: 7, 12, 16, 26, 32, 33, Section 1.8: 3, 7, 9, 16, 17, 25, Section 1.9: 1, 5, 7, 15, 18, 27,

for 4/20: Section 2.1: 1, 5, 9, 11, 12, 18, 27, Section 2.2: 1, 5, 7, 14, 31, 33, Section 2.3: 1, 3, 5, 15, 23, 33, for information about the midterm please check the main course page.

for 4/27: Section 2.5: 1, 7, 11, 17, Section 4.1: 1, 5,6, 13

for 5/4: Section 4.2: 1, 5, 9, 11, 18, 21, 31, Section 4.3: 3, 9, 11, 15, 19, 23, Section 4.5: 5, 9, 13, 19, 21

for 5/11: Section 4.4: 3, 5, 13, 17, 31, Section 4.6: 3, 9, 11, 19, 22, Section 3.1: 3, 9, 20, 21, 37, Section 3.2: 1, 9, 19, 29, 35, Section 3.3: 21, 31

for 5/18: Section 5.1: 2, 7, 12, 15, 17, 21. These problems need not be turned in. But they will be relevant for the midterm on WEDNESDAY May 18. For more information please check the main course page.

for 5/25: Section 5.2: 3, 9, 18, 19, Section 5.3: 1, 3, 5, 9, 11, 21, 23, Section 6.1: 1, 7, 11, 13, 17, 19, 25,

for 6/1: Section 6.2: 3, 7, 10 (look at Theorem 5 in this Section), 15, 19, 29. Section 6.3: 2, 4, 9, 15, 17, 22. Section 6.4: 3, 5, 9, 17. Section 7.1 1, 3, 6, 9, 10, 13, 17, 20.

Important There will be the matlab quiz this coming week. If you need alternative times, your last chance is this Friday, see under URL: sections.ucsd.edu

Solution to MATLAB 20F Exercise 2-7

Solution to MATLAB 20F Problems 4.1 and 4.2

Final: Here is some preliminary information about the final (I still do not know whether we will get an overflow room etc). The rules will be the same as for the midterms: One hand-written cheat-sheet (can be both sides), no other notes, books or calculators.

Office hours for finals week: Jorge: W: 1-3, Brandon: W4-6, Nicholas: MW: 12:40-1:40 in APM 6446, my office hours: Th: 1-2, F: 11-12. (if these are bad times for many students, I may change the times).

The material will go over the whole class, with an emphasis on what we have covered after the second midterm such as diagonalization, projections, least square solutions, orthogonal diagronalization, SVD, Earlier material which may be relevant: bases, dimension, rank, linear independence,

Relevant for final: Section 6.5: 11, 14, 18, Section 7.4: 7, 11 (do construction of Sigma and V as in class; for U, it is better and easier to do it as in Step 3 on page 476: Just multiply the columns of V by A). 14, Moreover, do (at least) problems 5, 8, 18, 17 of the link below:

Some practice problems: do (at least) problems 5, 8, 18, 17

A few more problems: Section 6.2: 13, review solving linear systems (if necessary),

Let u = [2,1,1]^T, v = [1,3,2]^T (i.e. they are column vectors). Caclulate v^Tu and uv^T. Show that u is an eigenvector of the matrix uv^T and calculate its eigenvalue.

Final exam locations: Students in Jorge's sections (Sections B07 and B08) please go to room CENTR 105. All the other students go to the usual class room.