This is a tentative
schedule and will be updated accordingly the progress of the
course. It is your responsibilty to check it weekly. The homework
assignments due next week as well as the reading will be always up
to date.
The problems to submit are in bold letters (remember that you must
be able to solve ALL the problems in the list).

Week

Sections of the book to read in advance

HW #

Homework
(the problems to submit are in bold letters )

Remarks

8/26

1.1 Introduction to linear systems.
1.2 Matrices, vectors and Gauss-Jordan elimination.

NOTE:
Homework
4 to 13 are due Monday before class (Ivan, our grader
will collect at the classroom door right before
class). Homework 14 is due the last day of class.

During this week we willl do some review for the midterm.

A practice midterm with solutions is here.
Homework 4 is due MONDAY 9/30.

9/23

3.1 Image and kernel of a linear transformation.
Review
3.2 Subspaces of R^{n}, bases and linear
independence.

4ed and 5ed:
3.3: 6,22,
26, 28,
30, 32, 38.
Challenge: 74 (see explanation right before exercise 69)

Homework 6 is due Monday 10/14 Monday
9/30: Midterm!
Midterm Topics: Chapter 1, Chapter 2 and Section 3.1. A midterm checklist is here. A
sample midterm is 4ed:
1.1 25, 2.2 26.b, 2.3 54, 3.1 24 5ed:
1.1-19, 2.2 26.b, 2.3 54, 3.1 24(The midterm will
consist in three problems, each with several items.).

10/7

3.4 Coordinates
4.1 Introduction to linear spaces

7

4ed
3.4: 2, 8, 16, 18,
20, 22, 28,
40,
42, 44.
4.1: 8, 16, 20,
22, 28, 32.
Challlenge: 4.1.38 For
problems 20 and 22, only parts a and c are
required. 5ed:
3.4: 4, 6, 14, 18,20, 22, 28,
40, 42, 44.
4.1: 8, 16, 20,
22, 28, 32.
Challlenge: 4.1.38

4.2 Linear transformations and isomorphisms
4.3 The matrix of a linear transformation.

8

4ed and 5ed
4.2: 4,6, 22,24, 26,
52, 54.
4.3: 6, 22, 24,
26, 44, 54,
56, 64.

Challlenge: 4.2.66

Important
announcement:
Students whose lastname start with a letter
between M and Z must go to lectures in Lib
E4330, at the usual time of the class MWF 12pm.

Homework 8 is due Monday 10/28
Linear transformations and isomorphisms slides are here.
Matrix of a Linear Transformation slides
are here.

10/21

5.1 Orthogonal projection and orthogonal basis.
5.2 Gram-Schmidt process and QR factorization.

9

4ed and 5ed
5.1: 4, 8, 10,
16, 26, 28. 5.2: 4,6,8, 18,20,32,
34,
36,38.

Solutions of homework 3
and homework 6.
Orthogonal projection and orthogonal basis slides are here.
Homework 9 is due Monday 11/4

10/28

Review

10

4ed and 5ed
5.3: 6, 14, 22,
33, 34, 36, 40,
52,54, 56, 58, 60.

Homework 10 is due Monday 11/11.
Solutions of homework 4, 5, and 7 are here.

Sample
midterm
A sample midterm consist in four of
the above problems.

4ed and 5ed
3.2.29, 3.3.29, 3.4.27, 4.1.3, 4.1.30 ,
4.2.7, 4.2.29, 4.3.13, 5.1.27, 5.2.21.

11/4

5.3 Orthogonal transformations and orthogonal matrices.
6.1 Introduction to determinants.

11

4ed and 5ed
6.1: 4, 6,
12, 14, 22, 24, 28,
32, 34.

Homework 11 is due Monday 11/18 Monday
11/4: Midterm! The midterm will take lace in
Simons Center 103 for ALL students (regardless where
they take classes)

11/11

6.2: Properties of the Determinant.
6.3 Geometrical Interpretation of the Determinat. Cramer's
rule.

12

4ed and 5ed
6.2: 2, 4, 12,
18, 20.
6.3: 2,14,
22, 24.

Homework 12 is due Monday 11/25

11/ 18

7.1 Diagonalization (this corresponds to 7.1 and
part of 7.4 in the 4th Edition)
7.2 Finding the Eigenvalues of a matrix.

13

4ed and 5ed
7.1: 2, 4, 6, 10, 12,
14, 16, 20, 36,
38,40, 42.
7.2: 2,4,10, 16,
18.

Homework 13 is due Friday 12/6

11/25

7.3 Finding the Eigenvectors of a matrix.

No Hw

11/27,28, 29 No Class. Thanksgiving!

12/2

7.4 Diagonalization.
Review

Practice Final: The practice problems for the two
midterms and the following problems:
6.1.15, 6.1.29, 6.2.5, 6.2.17, 6.2.23, 7.1.13, 7.1.37,
7.2.9, 7.2.15,7.2.17, 7.3.7, 7.3.3, 7.3.11.

Final: Thursday Dec 12th, 5:30-8pm. The
final will take place in Simons Center 103 for ALL
students (regardless where they take classes) Here
are you will find practice finals with solutions, and
also, solved problems. Here
there are practice problems about eigenvalues and
eigenvectors.