SUNY at Stony Brook MAT 211: Introduction to Linear Algebra
Fall 2009
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 extra-credit 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. Gauss-Jordan 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 Rn, 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 Rn. 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 4.1-4.2 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 4.2-4.3 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 5.1-5.2 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 7.1-7.2 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
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, 5:15-7:45pm