Homework guidelines: Each assignment is to be stapled in the upper left and appropriately
titled with the assignment number and your name appearing on the upper right
hand corner of the first page. Solutions should appear in the order the
questions are listed on the homework, with bonus questions at the end. If for
some reason you put them out of order, please make appropriate notes to redirect
the grader. The assignment is to be written legibly and in complete sentences.
You will be graded not only on your final answer, but also on your explanation
and justification of it. Your arguments should be clear and logically correct.
Justify each step. Cite theorems and results when it is not obvious what you
are using.
You may use my solutions to examples in class as a guide.
The general principle is: you want to convince the grader you completely
understand how to solve it; present your solution as if you were teaching a
classmate who didn't know how to solve the problem.
Please also be sure to read the homework policies on the General Course Information page (the handout).
Assignment | Topics | Due |
Homework 1 | Examples of linear transformations and matrices | Fri. Aug. 24 |
Homework 2 | Isometries, composition and matrix multiplication | Fri. Aug. 31 |
Homework 3 | Basic properties of matrix multiplication and proof methods | Fri. Sept. 7 |
Homework 4 | Linearity, vectors, linear subspaces | Fri. Sept. 14 |
Homework 5 | Linear subspaces, images, review | N/A |
Homework 6 | Vector spaces | Fri. Sept. 28 |
Homework 7 | Subspaces, span | Mon. Oct. 8 |
Homework 8 | Linear independence, solving linear systems of equations | Fri. Oct. 12 |
Homework 9 | Basis, dimension, coordinates | Fri. Oct. 19 |
Homework 11 | Linear transformations | Fri. Nov. 2 |
Homework 12 | Matrices of linear transformations, changing coordinates | Fri. Nov. 9 |
Homework 13 | Changing bases for linear transformations, eigenvectors, eigenvalues | Mon. Nov. 19 |
Homework 14 | Diagonalization | Mon. Nov. 26 |
Homework 15 | Exponentiation | Mon. Dec. 3 |