Date 
Topic 
Section 
Homework

Due

3/26 
Systems of Linear Equations 
1.1 

3/28 
Row Reduction and Echelon Forms 
1.2 
1.2 #1, 9, 12, 22  24  4/2 
3/31 
Vector Equations; Ax = b 
1.3, 1.4 
1.3 #11, 12, 18, 21, 22, 24, 29, 32
1.4 #5, 7, 9 
4/2 
4/2 
Ax=b, Solution Sets of Linear
Systems 
1.4, 1.5 
1.4 #17, 18, 29, 30, 32
1.5 #25, 29  32 
4/9 
4/4 
Linear Independence 
1.7 
1.7 #1, 5, 12, 22  25 
4/9 
4/7 
Linear Transformations 
1.8 
1.8 #2, 3, 8, 19, 25, 31, 33, 35  4/9 
4/9 
The Matrix of a Linear
Transformation 
1.9 
1.9 #2, 6, 15, 19, 25, 27, 35, 36  4/16 
4/11 
Matrix Operations; Matrix Inverses 
2.1, 2.2 
2.1 #4, 10 12, 22, 23 2.2 #1, 5, 9 
4/16 
4/14 
Matrix Inverses; Invertible Matrices 
2.2, 2.3 
2.2 #13, 21, 22, 32  4/16 
4/16 
Determinants 
3.1 
3.1 #2, 10, 22, 23, 39, 40; 2.3 #6, 13, 24, 33  4/23 
4/18 
Properties of Determinants 
3.2 
3.2 #9, 19, 23, 25, 28, 29, 40  4/23

4/21 
Cramer's rule, etc... 
3.3 
3.3 # 1, 3, 7, 11, 13, 19, 23  4/23 
4/23 
Vector Spaces and Subspaces 
4.1 
4.1 #8, 11, 13, 20, 21, 30  32  4/30

4/24 
Null Spaces, Column Spaces
and Linear Transformations 
4.2 
4.2 #3, 5, 10, 16, 18, 26, 28, 30  4/30

4/25 
Linearly Independent Sets; Bases 
4.3 
4.3 #4, 5, 9, 14, 20, 22, 24  4/30

4/28 
Coordinate Systems 
4.4 
4.4 #3, 7, 10, 15, 17, 23, 24, 28  4/30

4/30 
The Dimension of a Vector Space, Change of Basis 
4.5, 4.7 
4.5 #3, 8, 10, 13, 19, 21, 23 4.7 #2, 4, 7, 13 
5/7

5/2 
Rank 
4.6 
4.6 #2, 4, 8, 12, 15, 18, 27, 29  5/7

5/5 
Markov Chains 
4.9 
4.9 #3, 4, 8, 10, 14, 15, 18  5/7

5/7 
Eigenvectors and
Eigenvalues 
5.1 
5.1 #6, 8, 10, 15, 19, 21, 25, 31  5/14

5/9 
The Characteristic Equation

5.2 
5.2 #3, 6, 12, 13, 19, 24  5/14

5/12 
Diagonalisation 
5.3 
5.3 #6, 9, 11, 21, 23, 26  5/14

5/14 
Eigenvectors and Linear
Transformations 
5.4 
5.4 #2, 3, 6, 9, 12, 17, 20, 23  5/21

5/16 
Inner Product, Length and Orthogonality 
6.1 
6.1 #6, 7, 11, 14, 16, 19, 24, 28  5/21 
5/19 
Orthogonal Sets 
6.2 
6.2 #5, 10, 21, 11, 14, 16, 27, 29  5/21 
5/21 
Orthogonal Projections 
6.3 
6.3 #1,6,9,12,14,17,24  5/28 
5/23 
GrammSchmidt 
6.4 
6.4 #1, 5, 9, 12, 13, 17, 19  5/28 
5/28 
Diagonalisation of Symmetric matrices 
7.1 
7.1 # 4, 5, 11, 12, 14, 20, 23, 25, 29, 30  5/28 