Week  Material covered  Homework problems  Review and Solutions 
1 
M 1/9: 1.1  Systems of Linear Equations W 1/11: 1.2  Row Reduction and Echelon Forms F 1/13: 1.3  Vectors and Vector Equations 
1.1: 1, 3, 7, 9, 11, 13, 15, 17, 21, 25 1.2: 1, 3, 7, 9, 11, 13, 19, 21, 23, 25 1.3: 1, 3, 5, 7, 9, 11, 13, 17, 23, 27 
Quiz 1
Answers to T/F questions 
2 
M 1/16: No class (Martin Luther King Jr. Day) W 1/18: 1.4  The Matrix Equation Ax=b F 1/20: 1.5  Solution Sets of Linear Systems 
1.4: 1, 3, 7, 9, 11, 13, 15, 17, 21, 23, 25, 35 1.5: 1, 3, 5, 9, 11, 13, 19, 23, 27, 33, 35 
Quiz 2
Answers to T/F questions 
3 
M 1/23: 1.7  Linear dependence and independence W 1/25: 1.8  Linear transformations F 1/27: 1.9  The matrix of a linear transformation 
1.7: 1, 3, 7, 9, 11, 15, 17, 19, 21, 27 1.8: 1, 3, 5, 7, 9, 11, 13, 15, 17, 21 1.9: 1, 3, 5, 7, 11, 15, 19, 23 
Quiz 3
Answers to T/F questions 
4 
M 1/30: 2.1  Matrix algebra W 2/1: 2.2  The inverse of a matrix F 2/3: 2.3  Characterizations of invertible matrices 
2.1: 1, 3, 5, 7, 9, 13, 15, 17, 22, 31 2.2: 1, 3, 5, 7, 9, 11, 13, 15, 21, 31 2.3: 1, 3, 5, 7, 11, 13, 15, 21, 33, 37 
Quiz 4
Answers to T/F questions 
5 
M 2/6: 2.5  Matrix factorization W 2/8: 3.1  Introducing determinants F 2/10: 3.2  Properties of determinants 
2.5: 1, 3, 5, 7, 11 3.1: 1, 3, 5, 7, 11, 13, 19, 21, 27, 29 3.2: 9, 11, 13, 17, 19, 25, 27, 29 
Quiz 5
Answers to T/F questions 
6 
M 2/13: 3.3  Cramer's rule, volume, and linear transformations W 2/15: 4.1  Vector spaces and subspaces F 2/17: 4.2  Null spaces, column spaces, and linear transformations 
3.3: 1, 5, 7, 9, 13, 15, 17, 19, 21 4.1: 1, 3, 5, 7, 11, 15, 17, 21, 23 4.2: 1, 3, 5, 7, 9, 11, 15, 23, 25 
Quiz 6 
7 
M 2/20: 4.3  Linearly independent sets and bases W 2/22: Review for first midterm F 2/24: Midterm 1 

Practice Midterm 1 
8 
M 2/27: 4.3  Linearly independent sets and bases, ctd. W 3/1: 4.4  Coordinate systems F 3/3: 4.5  The dimension of a vector space 
4.3 1, 3, 5, 7, 9, 11, 13, 15, 19, 23 4.4 1, 3, 5, 7, 9, 11, 13, 17 4.5 1, 3, 5, 7, 9, 11, 13, 15, 17 
Quiz 7 
9 
M 3/6: 4.6  Rank W 3/8: 4.7  Change of basis F 3/10: 5.1  Eigenvectors and eigenvalues 
4.6 1, 3, 5, 7, 9, 11, 13, 17, 19, 20, 21, 25 4.7 1, 3, 5, 7, 9, 11, 13, 15 5.1 5, 7, 9, 13, 15, 17, 19, 23, 25, 31 
Quiz 8 
10 
M 3/13: 5.2  The characteristic equation W 3/15: 5.3  Diagonalization F 3/17: 5.4  Eigenvectors and linear transformations 
5.2 1, 3, 7, 9, 13, 15, 17, 23 5.3 1, 3, 7, 11, 13, 17, 25, 27, 31 5.4 1, 3, 5, 7, 9, 11, 13, 15, 17, 29 
Quiz 9 
Spring Break 


11 
M 3/27: 5.5  Complex Eigenvalues W 3/29: 4.9  Applications to Markov Chains F 3/31: 5.7  Differential Equations 
5.5 1, 3, 5, 13, 15, 17, 19 4.9 1, 3, 5, 7, 9, 11, 13 5.7 1, 3, 5, 7, 9, 11, 13 
Quiz 10 
12 
M 4/3: 6.1  Dot Products W 4/5: Review for second midterm F 4/7: Midterm 2 
6.1 1, 3, 5, 7, 9, 11, 13, 15, 17, 23, 25

Practice Midterm 2
Grading key for Midterm 2 
13 
M 4/10: 6.2  Orthogonal Sets W 4/12: 6.3  Orthogonal Projections F 4/14: 6.4  The GramSchmidt Process 
6.2 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21 6.3 3, 5, 7, 9, 11, 13, 15, 17 6.4 1, 3, 5, 7, 9, 11 
Quiz 11 
14 
M 4/17: 6.5  The Method of Least Squares W 4/19: 6.6  Applications to Linear Models F 4/21: 7.1  Diagonalization of Symmetric Matrices 
6.5 1, 3, 5, 7, 9, 11, 13, 17, 18 6.6 1, 2, 3, 4, 7, 9 7.1 7, 9, 11, 13, 15, 17, 19, 23 
Quiz 12 
15 
M 4/24: 7.4  Singular Value Decomposition W 4/26: Catchup and Review F 4/28: Final Exam Review 
7.4 1, 3, 5, 7, 9, 11

Quiz 13 
Final Exam: Tuesday May 2, 3:305:30 PM 
