Date 
Topics Covered 
Sections 
Homework
Problems Assigned 
Due Dates 
3/30 
Vector Spaces 
1.2 
1.2 #4b,g, 8, 12, 14, 15, 21  4/1 
4/1 
Subspaces 
1.3 
1.3 #1a,b,c,d,g, 2a,d,e, 10, 11, 19, 20 (use induction), 23  4/4 
4/4 
Fields 
Appendix C (through Example
5) 
1.2 #16, 22; 1.3 #6, 21  4/6 
4/6 
Linear Combinations and Equations

1.4 
1.4 #2a,c, 4c, 6, 8, 9  4/8 
4/8 
Linear Dependence and Independence

1.5 
1.5 #2b,c, 5, 6, 9, 11  4/11 
4/11 
Bases and Dimension (skip Lagrange
Interpolation) 
1.6 
1.6 #1, 2d, 3b,e, 4, 5, 7  4/14 
4/13 
Bases and Dimension

1.6 


4/14, xhour 
Bases and Dimension and QUIZ
1 (covering material up to and including 1.5)

1.6 
1.6 #12, 13, 16, 20, 22, 31 and problem assigned in class  4/15 
4/15 
Linear Transformations

2.1 
2.1 #2, 3, 5 (for these three problems just show T is a linear transformation), 7, 9a,d, 10, 12  4/18 
4/18 
Linear Transformations

2.1 
2.1 #1  3 (do not repeat the part done previously), 14a,c, 17, 18, 38  4/20 
4/20 
Matrix Representation of a
Linear Transformation 
2.2 
2.2 #2b, 3, 4, 5c,f, 8, 9  4/22 
4/22 
Composition of Linear Transformations
and Matrix Multiplication (skip Applications)

2.3 
2.3 #2a, 3, 4a,b, 11 (T_0 is the zero linear transformation), 12, 18  4/25 
4/25 
Composition of Linear Transformations
and Matrix Multiplication (skip Applications); Invertibility
and Isomorphisms 
2.3, 2.4 
1.3 #25 (see the second definition on p. 22), 29, 30; 2.3 #13; 2.4 #2d,e, 14, 15 (assume T is oneone on beta)  4/27 
4/27 
Invertibility and Isomorphisms

2.4 
2.4 #3c,d, 4  6, 16  18, 20  4/29 
4/28, xhour 
Invertibility and Isomorphisms
and QUIZ 2 (covering material from 1.6 to 2.3)

2.4 


4/29 
Change of Coordinate Matrix 
2.5 
2.5 #1, 2c, 3c, 4, 5, 8  11  5/2 
5/2 
Elementary Operations and Elementary
Matrices 
3.1 
3.1 #1, 2, 3c, 6  9  5/4 
5/4 
The Rank and Inverse of a Matrix 
3.2 
3.1 #4; 3.2 #2a,c,f, 4a,b, 8, 11  5/6 
5/6 
The Rank and Inverse of a Matrix 
3.2 
3.2 #1, 5a,h, 6c,d, 15, 17  5/9 
5/9 
Systems of Linear Equations  Theory (skip
An Application) 
3.3 
3.3 #2d,g, 3d,g, 4(1b & 2b), 7a,d, 8b, 10  5/11 
5/11 
Systems of Linear Equations  Computation
(up to middle p. 193) 
3.4 
3.4 #2a,b,f, 4a, 5, 7, 9  5/13 
5/12, xhour 
Systems of Linear Equations  Computation
(up to middle p. 193) and QUIZ 3 (covering material
from 2.4 to 3.3) 
3.4 


5/13 
Summary of Facts About Determinants 
4.4 
4.4 #1, 2d, 3d,g, 4d,e, 5  5/16 
5/16 
Eigenvalues and Eigenvectors 
5.1 
5.1 #2c, 3a,c,d, 8a,b, 9, 14  5/18 
5/18 
Eigenvalues and Eigenvectors; Diagonalizability
(up to and including p. 271) 
5.1, 5.2 
5.1 #1, 4c,e, 16, 20; 5.2 #2c,g (skip the test for diagonalizability  these matrices are diagonalizable)  5/20 
5/20 
Diagonalizability (up to and including p.
271) 
5.2 
5.2 #1, 3c,d,e, 8, 11, 12  5/23 
5/23 
Inner Products and Norms 
6.1 
6.1 #4, 5, 8, 9, 11, 13, 17  5/25 
5/25 
Inner Products and Norms; Application to Markov
Chains 
6.1 
6.1 #2, 3, 10, 15a, 18, 20, problem on Markov chains given in class  5/27 
5/26, xhour 
QUIZ 4 (covering 3.4, 4.4, 5.1 and
5.2) 



5/27 
The Orthogonalization Process and Orthogonal
Complements 
6.2 


6/1 
The Orthogonalization Process and Orthogonal
Complements; Questions; Final Remarks 
6.2 
