| Section
| Topic
| Exercises
|
|
1.1
|
Systems of Linear Equations
|
5, 6, 9, 10, 19-22, 29, 30
|
|
1.2
|
Row Reduction and Echelon Forms
|
1, 2, 5, 6, 13, 14, 21-24
|
|
1.3
|
Vector Equations
|
7-12, 21, 22, 31, 32
|
|
1.4
|
Matrix Equations
|
3, 4, 7, 8, 19, 20, 23, 24, 29, 30
|
|
1.5
|
Solution Sets of Linear Systems
|
1, 2, 7, 8, 13, 14, 21, 22, 25, 26
|
|
1.6
|
Linear Independence
|
2, 10, 14, 18, 27, 28
|
|
1.7
|
Linear Transformations
|
2, 6, 12, 14, 22 - 24
|
|
1.8
|
Matrix of a Linear Transformation
|
4, 12, 14, 22 - 24
|
|
2.1
|
Matrix Operations
|
2, 6, 10, 15, 16, 24
|
|
2.2
|
Inverse of a Matrix
|
4, 6, 9, 10, 12, 14, 18, 32, 34
|
|
2.3
|
Invertible Matrices
|
2, 4, 6, 8, 10, 13, 14
|
|
2.4
|
Partitioned Matrices
|
1-7, 8, 10
|
|
2.5
|
Matrix Factorizations
|
1, 5, 7, 9, 13
|
|
3.1
|
Determinants
|
4, 8, 10, 14, 38
|
|
3.2
|
Properties of Determinants
|
12, 14, 16, 18, 20, 22, 26, 27, 28
|
|
3.3
|
Cramer's Rule
|
1, 3, 5, 7, 11, 13, 19, 21, 23, 27, 29, 30, 31
|
|
4.1
|
Vector Spaces and Subspaces
|
1-11 odd, 16, 18, 22, 28
|
|
4.2
|
Null Spaces, Column Spaces and Linear Transformations
|
4, 6, 9-17 odd, 22, 24, 34
|
|
4.3
|
Linearly Independent Sets; Bases
|
1-15 odd, 21, 22, 24, 30
|
|
4.4
|
Coordinate Systems
|
3-9 odd, 14-16, 20, 28
|
|
4.5
|
Dimension of a Vector Space
|
5-13 odd, 22, 29, 30
|
|
4.6
|
Rank
|
1-21 odd
|
|
4.7
|
Change of Basis
|
1-5, 7, 19
|
|
5.1
|
Eigenvectors and Eigenvalues
|
9-15 odd, 26, 32
|
|
5.2
|
Characteristic Equation
|
2, 6, 10, 14, 16, 18
|
|
5.3
|
Diagonalization
|
1-13 odd, 20, 24, 26
|
|
5.4
|
Eigenvectors and Linear Transformations
|
1-15 odd
|
|
6.1
|
Inner Product, Length and Orthogonality
|
1-9 odd, 11, 17, 23
|
|
6.2
|
Orthogonal Sets
|
1, 3, 5, 9, 13, 17, 19
|
|
6.3
|
Orthogonal Projections
|
1, 3, 5, 7
|
| Final Examination
| Friday, December 14, 2:00 p.m.-4:00 p.m.
|