M369 Section
2
Spring 2007 Course:
Linear Algebra
Instructor: Dr. Iuliana Oprea
Department of Mathematics, Colorado State University
office:Weber
123, phone:16751,
url:
http://www.math.colostate.edu/~juliana
email juliana'at'math.colostate.edu
General information
Recommended (online free text book
with solutions to all exercises):
Jim Hefferon, Linear Algebra: http://joshua.smcvt.edu/linalg.html
The syllabus below will be updated as the semester progresses.
Week 
Material covered (with page numbers) 
Homework 
1 
Chapter
1: Systems of linear
equations, Row echelon form, Matrix algebra, Elementary matrices Chapter 2 : The determinant of a matrix, Properties of determinants 
HW1  due Wednesday 24 January Chapter 1: Section 1: 1b, 2b, 3d, 5b, 6f, Section 2: 1a,f,g, 2 ae, 5f, Section 3: 1d, 2, 10, 12, Section 4: 10g, 11 
2 
Chapter 3 : Vector
spaces: Definition
and examples, Subspaces, Spanning
sets, Linear independence 
HW2  due Wednesday 31 January Chapter 2, Section 1: 3 Chapter 3, Section 1: 6, 10; Section 2: 1 a,b; 3 a; 4 a,b; 6 a,b; 10a, 11a 
3 
Basis, Dimension, Change of Basis Solution to Quiz 1

HW3  due Wednesday 7 February S3: 1 a c e, 2 bd, 5, 6ac, 7bd, 8, S4: 4,5,6,10,14 (sorry for the copy/paste typo, S2 was due last week!) 
4  Change of Basis 
continued Row Space  Column Space 
HW4  due Wednesday 14
February S5: 1b, 2 b, 3b, 5, 6, 8, 9; S6 1a, b, 2a, c, 3, 4abc, 5,6,10, 12, 13 
5 
Chapter 4: Linear Transformations Linear transformation; Matrix representations of linear transformations Solution to Quiz 2 
HW5
 due Wednesday 21
February Chapter 4: s1:1a,e, 3,4,5,6,9a,17a,b;18 a,b; 21,22; s2: 2ac, 3b, 4,6,14,18 
6 
Similarity Matrices; Review
Chapter 4. 
HW 6 due Wed 28 February:
Ch 4, S3: 1,2,3,7; Chapter test B: 15, 9, 10 
7 
Review, Exam, Chapter 5
Orthogonality, Section 1 
HW 7 due March 9 (Friday): Ch 5 S1:
1a, 3c, 4, 8c, 9; S2: 1c, 2, 3 , 4 
8  Chapter 5 Orthogonality, Sections 12, 3  No HW assigned 
9  Spring Break 

10  Least Squares, Inner
Product Spaces 
HW 8 (due March 29): Ch.
5, S3: 1c, 2c, 5, 6 , S4: 2,3,7,8,11 
11 
Inner Product Spaces,
Sections 4, 5 
HW9 due April 5: Ch. 5,
S5 1cd, 2, 3, 5, 8, 15, 21,27,28; S6: 16 
12 
Sections 57 
HW10 Due April 9 Test
Chapter B 18, 1012 
13  Chapter 5: Eigenvalues,
Eigenvectors 
HW 11: Ch6 S1: 1 g.h;
3,4,10, 11,13,18,19,28 
14 
Chapter
6, sections 13 
HW12 Due Wednesday Ch6 S2: 1a,b,
2 a,b, S3: 1 a,c, 2,3,8 
15 
Chapter 6 Section 4,5 
HW13 Due Wednesday, Ch.
6, S4, 14 
16 
Review for
the Final Exam 