Matrices, vector spaces, linear transformations, inner
Eigenvectors. QR factorization. Quadratic forms and Rayleigh's
principle. Jordan canonical form, applications. Linear functionals.
This catalog description gives you some idea of what we will
cover. I have taught Math 110 twice before: in the Fall, 2002 semester and in the Fall, 2003 semester. The second course was the
honors linear algebra course, H110. Please consult my course web
pages to get some sense of what it's like to take a class from
me. Look also at Richard Borcherds's page of pages
for other Berkeley math web sites.
First midterm exam, February 22, 2005. This exam will cover material
through dual spaces.
You can bring one sheet of notes (2-sided, 8 1/2 x 11 inches) to the exam.
[Possible solutions, written by
Final course grades were based on composite numerical grades
that were to achieve the following mix: 20% homework, 15% first
midterm, 20% second midterm, 45% final exam.
One year ago (i.e., in the Spring, 2003 semester), final course grades
were distributed as follows: 32% A, 32% B, 22% C,
5% D, 9% F.
In this course, I followed that distribution pretty faithfully.
There are quite a few good
linear algebra books.
You can use
the math department
to find the
textbooks that have been used in Math 110 for the last two years.
Whenever you feel stuck when reading our
consult alternative treatments.
Reading several discussions
of one topic is often illuminating.
will be due on Wednesdays, in
section. Proposed solutions (or sketches of solutions)
will be posted each week, usually on
Wednesday evening or Thursday morning.
Because this is an upper-division course, the solution to a problem
will usually be a written narrative.
For problems that request proofs (``show that...''),
write your answers in complete
English sentences. For computational questions, write supporting
sentences that explain what you are doing and what is going on.
By the way,
for the numerical problems, you may suppose that the field F has
characteristic 0. For example, if you need that 2 or 3 is non-zero,
just assume it.
See the authors'
current list of
errata for a comment to this effect.
This semester, I'm trying an online discussion group,
Google Groups' Math
To read and post comments to the group, you need to
acquire a Google
identity and then
apply to join the
On January 11, 2005, the group had 137 members.