MAT211 Homework
Tentative Schedule and Homework
This schedule is, as the title
indicates, tentative. It is updated
up to (and including) the homework due the next week but future
assignements may be
modified if the progress of the class requires it. It is your
responsibility to check it weekly.
Homework is a mandatory part of
the course. Homework assignments are
due each week at the beginning of the Monday's class. Under no
circumstances will late homework be accepted.
The numbering in the schedule
below refer to the course textboox
Linear Algebra with
aplications,
4th edition ; by Otto
Bretscher.
(If you have an older
edition,
make sure you are working in the indicated problems). The extracredit
homework
(denoted by EC in the schedule below) is optional but you are
encouraged to work on them.
It is allowed (and encouraged)
to discuss
the problems with other students in
the class, however you (and only you) are responsible for the write up.
All
the work
you hand in should be your own,
not copied or "inspired" from
someone else's work (This includes "fishing" in the Internet for
answers).
Suspiciously similar solutions will receive
no credit and will be reported to the Academic Judiciary.
New material is presented every
week. You shoud read the corresponding section of the texbook before
the class.
Week starts 
Sections 
Material Covered 
HW 
HW Due date 
Assignment 
Remarks 
8/31 
1.1, 1.2 
Linear systems and their
geometric interpretation. Matrices and vectors. The matrix form of a
linear system. GaussJordan elimination. 


No homework 

9/7 
1.3, 2.1 
Matrix algebra.
Solutions of a linear system; Linear transformations 
HW 1 
We 9/9 
Sec.1.1: 2, 6, 10, 12,
18, 26, 29. EC:
24, 28, 30, 42
Since the book might not be available, here
is the homework.

No class 9/7, Labor day. 
9/14 
2.1, 2.2 
Linear transformations
and their inverses. Linear transformations in geometry 
HW 2 
Mo
9/14 
Sec.1.2: 8, 10, 18, 46. EC: 44. 50
Sec.1.3: 2, 3, 4, 16, 18, 36, 46, 60, EC: 24, 48, 58 
Last Day to Drop/Add
9/14 
9/21 
2.3, 2.4 
Matrix products. The
inverse of a linear transformation. 
HW 3 
Mo
9/21 
Sec. 2.1: 1,
2, 3, 4, 6, 8, 14, 24, 26, 28. EC 34, 38, 44, 46
Sec. 2.2: 2, 4, 6,16, 20, 26, 41, 42 EC: 24, 47, 48 

9/28 
3.1, 3.2 
Imagen and kernel of
linear transformation. Subspaces of R^{n},
Bases and linear independence. 
HW 4 
Tu
9/29 
Sec. 2.3: 1, 2, 3,
4, 5, 6, 10, 12, 13, 20, 34, 44, 46, 56, 58 EC 30, 32, 65
Sec. 2.4: 4, 6, 8,14, 16, 20, 30, 34. EC 32, 36, 40,
44, 45(this problem is interesting for students565 in Computer
Science), 80, 105, 107 108 (this last ex. is about your eyes!) 
Yom Kippur 9/28 (No
class) Correction Day 9/29 (Monday Schedule) 
10/5 
3.3 
The dimension of a
subspace of R^{n}. Review for the midterm 
HW 5 
Mo
10/5 
Sec. 3.1: 2, 3,4, 6, 14,16, 20,22,24, 30, 32, 34 EC: 38, 39,
, 50
Sec. 3.2: 2,4, 6,8,10,12, 14, 26, 28, 30, 32, 34, EC 44, 50, 54.


10/12 
3.4 
Coordinates  Midterm

HW 6 
W
10/14 
Sec. 3.3: 2, 6,8,18, 22, 24,26, 28,
30, 32, 33,34, 35, 36, 37, 38. EC 39, 73, 74 
Wed 10/14
Midterm
I 
10/19 
4.14.2 
Introduction to linear
spaces.
Linear transformations and Isomorphisms. 
HW 7 
We
10/21 
Sec. 3.4: 1,2,4,8, 16, 18,20, 24, 26,28,37, 38,40, 42, 44,
46,53,56, 58,60, 62 , 76. EC 50, 54, 65,66,67,73 

10/26 
4.24.3 
The matrix of a linear transformation. Orthogonal projections
and orthogonal basis. 
HW 8 
W
10/28 
Sec. 4.1: 1, 2, 4, 6, 7, 10, 16, 22, 24, 26,30, 36, EC 12,
14, 48, 50


11/2 
5.15.2 
Orthogonality 
HW 9 
W
11/4 
Sec. 4.2: 4, 6, 26, 30, 52, 56, EC: 78, 80, 74.
Sec. 4.3: 2,6,12,22,24,26,42,46,50,56, 62 64. EC 67, 68,70,


11/9 

Review  Midterm 
HW 10 
W
11/11 
Sec. 5.1: 2, 4, 8, 10, 16, 17, 19, 26, 28, 40, 41. EC 33, 35,
Sec. 5.2: 4, 6, 14, 18 (optional),20 (optional), 32, 34,36(optional), 38(optional) 
We 11/11
Midterm II
Section 3.4,
Chapter 4,
Sections 5.1 and 5.2 (excluding QR fact) 
11/16 
5.3, 6.1, 6.2, 
Determinants 


NO HOMEWORK

WED 11/18 MATH CLUB MEETING P 131. Math Tower 12:50 
11/23 
6.2, 6.3 
Determinants 
HW 11

W
11/25 
Sec. 5.3: 2,4.6,10,14,16,22,32,33,34,36,40, 52,54,56,58,60.
Sec. 6.1: 6, 10, 12, 16,
26, 32, 40, EC: 58
THIS HOMEWORK CAN BE SUBMITTED 12/2 

11/30 
7.17.2 
Real eigenvalues 

W
12/2

Sec. 6.2: 4,12,14 18, 20, 26, 40, 46 EC: 31, 45
Sec 6.3: 1, 2, 14

Thanksgiving
No class on Wed.

12/7 
7.3 
Real eigenvalues
Review for the final 
HW 13 
W
12/9 
Sec. 7.1: 1, 2,3,4,5,6,7,8 12, 15,16,18, 36,38, 40
Sec. 7.2: 2, 4, 10, 16, 18, 38, 48
Sec 7.3; 4, 6, 8, 10,20 







Final cumulative
Monday, December 14th, 5:157:45pm 
