Back to main page Math 110: Linear Algebra (Spring 2023)

Announcements

4/30 During RRR week, I will continue to have my usual Wednesday office hours, which are 12:30PM to 4:30PM in Evans 1093. I will also have office hours on Friday from 10AM to 2PM.
4/30 In the final discussion, I described a method for computing a Jordan basis, but that method is faulty, so please disregard it. (The method I described for computing the Jordan form using the dimensions of null spaces is fine though.)


Contents of this page

For the Spring 2023 semester, I am a GSI for Math 110 taught by Olga Holtz. The bCourses can be found here. I will be using this page to keep track of what I do in discussion. Any handouts will also be uploaded here. The math on this page is rendered by MathJax.

Meeting Times

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You should try to attend the discussion you are officially registered for if possible, but it is okay if you come to another section (e.g. because of a schedule conflict). If you would like to meet but cannot make it to my listed office hours, please send me an email and we can try to arrange a time. (You can alternatively ask me questions via e-mail, but I find it a lot more convenient to have math conversations in-person.)
Section Meeting Times Location
22127 Lecture 001 Tues&Thurs 14:00-15:30 Lewis 100
22130 Discussion 103 Fri 10:00-11:00 Evans 3
22131 Discussion 104 Fri 11:00-12:00 Evans 9
22133 Discussion 106 Fri 13:00-14:00 Dwinelle 105
My Office Hours Wed 12:30-16:30 Evans 1093

Discussion Synopses

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Discussion Content Relevant Material
#1 1/20 A review of fields and vector spaces, by example. Example of checking that \( \mathbb{C} \) is an \( \mathbb{R} \)-vector space. You may find Prof. Hutching's primer on proof writing helpful. I recommend starting with section 2 to get an idea of what a "proof" should accomplish.
#2 1/27 Subspaces and sums. Handout and solutions. Problem 2(c) is quite challenging; don't worry about it.
#3 2/3 Bases and related concepts. Handout and solutions.
#4 2/10 Linear maps. Handout and solutions.
#5 2/17 More on linear maps. Handout and solutions.
#6 2/24 More on linear maps. Handout and solutions.
#7 3/3 Exam solutions. No handout.
#8 3/10 Fibonacci sequence example. No handout.
#9 3/17 Polynomials. Handout and solutions.
#10 3/24 Invariant subspaces and eigenspaces. Handout and solutions. Here are some notes on the minimal polynomial.
#11 4/7 Inner product spaces. Handout and solutions.
#12 4/14 Applications of orthogonal projection to least squares regression. No handout.
#13 4/21 Operators on inner product spaces. Handout and solutions.
#14 4/28 Operators on inner product spaces, continued. Handout and solutions.