Course Homework

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 1Examples of linear transformations and matricesFri. Aug. 24
Homework 2Isometries, composition and matrix multiplicationFri. Aug. 31
Homework 3Basic properties of matrix multiplication and proof methodsFri. Sept. 7
Homework 4Linearity, vectors, linear subspacesFri. Sept. 14
Homework 5Linear subspaces, images, reviewN/A
Homework 6Vector spaces Fri. Sept. 28
Homework 7Subspaces, spanMon. Oct. 8
Homework 8Linear independence, solving linear systems of equationsFri. Oct. 12
Homework 9Basis, dimension, coordinates Fri. Oct. 19
Homework 11Linear transformations Fri. Nov. 2
Homework 12Matrices of linear transformations, changing coordinates Fri. Nov. 9
Homework 13Changing bases for linear transformations, eigenvectors, eigenvalues Mon. Nov. 19
Homework 14 Diagonalization Mon. Nov. 26
Homework 15 Exponentiation Mon. Dec. 3


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