Date 
Topics
Covered 
Sections 
Homework
Problems Assigned 
Due
Dates 
9/24 
Systems of Linear Equations 
1.1 

9/26 
Row Reduction and Echelon Forms 
1.2 
1.2 #1, 9, 12, 22  24  
9/29 
Vector Equations; Ax = b 
1.3, 1.4 
1.3 #11, 12, 18, 21, 22, 24, 29, 32
1.4 #5, 7, 9 

10/1 
Ax=b, Solution Sets of Linear
Systems 
1.4, 1.5 
1.4 #17, 18, 29, 30, 32
1.5 #25, 29  32 
10/3 
10/3 
Linear Independence 
1.7 
1.7 #1, 5, 12, 22  25 

10/6 
Linear Transformations 
1.8 
1.8 #2, 3, 8, 19, 25, 31, 33, 35  
10/8 
The Matrix of a Linear
Transformation 
1.9 
1.9 #2, 6, 15, 19, 25, 27, 35, 36  10/13 
10/9 
Matrix Operations; Matrix Inverses 
2.1, 2.2 
2.1 #4, 10 12, 22, 23; 2.2 #1, 5, 9  
10/13 
Matrix Inverses; Invertible Matrices 
2.2, 2.3 
2.2 #13, 21, 22, 32; 2.3 #6, 13, 24, 33  
10/15 
Determinants 
3.1 
3.1 #2, 10, 22, 23, 39, 40  10/17 
10/17 
Properties of Determinants 
3.2 
3.2 #9, 19, 23, 25, 28, 29, 40  
10/20 
Vector Spaces and Subspaces 
4.1 
4.1 #8, 11, 13, 20, 21, 30  32  
10/22 
Null Spaces, Column Spaces
and Linear Transformations 
4.2 
4.2 #3, 5, 10, 16, 18, 26, 28, 30  10/24 
10/24 
Linearly Independent Sets; Bases 
4.3 
4.3 #4, 5, 9, 14, 20, 22, 24  
10/27 
Coordinate Systems 
4.4 
4.4 #3, 7, 10, 15, 17, 23, 24, 28  
10/29 
Coordinate Systems; The Dimension of a Vector Space 
4.4, 4.5 
10/31 

10/31 
The Dimension of a Vector Space 
4.5 
4.5 #3, 8, 10, 13, 19, 21, 23  
11/3 
Rank 
4.6 
4.6 #2, 4, 8, 12, 15, 18, 27, 29  
11/5 
Eigenvectors and
Eigenvalues (skip Eigenvectors and Difference Equations) 
5.1 
5.1 #6, 8, 10, 15, 19, 21, 25, 31  11/7 
11/7 
The Characteristic Equation (skip
Application to Dynamical Systems) 
5.2 
5.2 #3, 6, 12, 13, 19, 24  
11/10 
Diagonalization 
5.3 
5.3 #6, 9, 11, 21, 23, 26  
11/12 
Eigenvectors and Linear
Transformations 
5.4 
11/14 

11/14 
Eigenvectors and Linear
Transformations; Inner Product, Length and Orthogonality 
5.4, 6.1 
5.4 #2, 3, 6, 9, 12, 17, 20, 23  
11/17 
Inner Product, Length and Orthogonality 
6.1 
6.1 #6, 7, 11, 14, 16, 19, 24, 28  
11/19 
Orthogonal Sets 
6.2 
6.2 #5, 10, 21  11/21 
11/21 
Orthogonal Sets; Orthogonal Projections 
6.2, 6.3 
6.2 #11, 14, 16, 27, 29  
11/24 
Orthogonal Projections 
6.3 
6.3 #1, 6, 9, 12, 14, 17, 24  12/1 
12/1 
Applications to Markov Chains 
4.9 


12/3 
Applications to Markov Chains 
4.9 
4.9 #3, 4, 8, 10, 14, 15, 18  Not to be handed in 