Math 200A: Linear Algebra
Middlebury College, Fall 2021
Frank Swenton


Welcome to the Math 200A homepage!

Here is where you'll find problem sets, solutions (in web-viewable and printable forms), and various other sorts of course materials. Printable files are in Adobe PDF format (get Acrobat Reader); when printing, be sure to uncheck "Fit to Page" for best results.

Basic course materials: Syllabus, Topic Map, Attack Plan, and Calendar for the term.

CampusWire link: Post questions and/or start discussions here (code is 0103); I'll answer them as I see them!

Review Sheets, in PDF form:
Linear algebra preliminaries
Logic and proof
Span, linear independence, and basis
Basis, coordinates, and the FTVS (plus column-vector methods)
Linear transformations, part 1: kernel, image, and from collections/matrices
Linear transformations, part 2: the Fundamental Theorem of Linear Transformations and change-of-basis
Endomorphisms, similarity, and diagonalization
Matrix algebra, the determinant, and the characteristic polynomial
Inner product spaces, orthogonality, and projection/approximation


Problem sets are available here, in PDF form (please print only the page or pages that you need!).

Solutions..
Web-viewable:  –3  –2  –1  0  1  2  3  4  5  6  7  8  9  10  11  12  13  14  15  16  17  18  19  20  21  22  23  24  25
Printable PDF:  –3  –2  –1  0  1  2  3  4  5  6  7  8  9  10  11  12  13  14  15  16  17  18  19  20  21  22  23  24  25


Video walkthroughs
Our three main logical constructions (for all, there exists, and implies)
A typical span proof [PS 2, problem 7(a)(ii)]
A typical linear independence proof [PS 3, problem 7(a)(ii)]
The Exchange Lemma [PS 4, problem 2]


Exam 1 statistics are posted here, along with a blank exam (to practice thinking through any problems that gave you issues).


Exam 2 statistics are posted here, as well as statistics on total points for Exams 1+2.

Exam 3 statistics are posted here, as well as statistics on total points for Exams 1+2+3.

Final Exam will be e-mailed out around 9:00am on 12/15 and will be due back (via writing on it, scanning answers, or taking pictures) via e-mail by noon of that day.