Linear Algebra Archive
This course requires Linear Algebra and Its Applications, 4th edition, by David C. Lay which can be downloaded from Canvas.
Date | Class Activities | Topic | Materials | Homework Assignment |
1/28 | Sections 1.1 and 1.2 | Systems of Linear Equations, Row Reduction, and Echelon Form | 1.1: 11-21 odd, 29, 31 1.2: 3, 7-13 odd, 15-16, 23-26 | |
2/4 | Sections 1.3 and 1.4 | Vector Equations and Matrix Equations | 1.3: 1, 9-13 odd, 17-19 odd 1.4: 1, 3, 9, 11, 13, 17-22, 25 | |
2/11 | Sections 1.5 and 1.7 | Solution Sets of Linear Systems and Linear Independence | 1.5: 5, 11, 13-17 odd, 28-32 1.7: 1-7 odd, 15-19 odd, 31-39 odd | |
2/18 | Sections 1.8 and 1.9 | Linear Transformations | 1.8: 1-19 odd, 31 1.9: 1-9 odd, 15-21 odd, 25, 27, 35 | |
2/25 | Sections 2.1, 2.2, and 2.3 | Matrix Operations and Inverse Matrices | 2.1: 1, 3, 7, 9, 27 2.2: 1, 5, 13, 14, 16-24, 31 2.3: 1-7 odd, 13-22, 33-34 | |
3/4 | Section 3.1 | Determinants | 3.1: 3, 5, 9, 11, 15, 19-23 odd, 38 | |
3/11 | Section 3.2, 3.3, and 4.1 | Properties of Determinants, Applications of Determinants, and Vector Spaces | 3.2: 5, 7, 15-21 odd, 25-26, 31, 32, 36, 39 3.3: 3, 5, 19, 21, 23 4.1: 1-3, 5-10, 13 | |
3/18 | Section 4.2 and 4.3 | Null Space, Column Space, and Bases | 4.2: 1, 5, 15, 17, 21, 24, 30-33 4.3: 3, 8, 13, 15, 20, 23-25, 33-34 | |
4/1 | Sections 4.4, 4.5 and 4.6 | Coordinate Systems, Dimention of a Vector Space, and Rank | 4.4: 3-13 odd, 27, 31 4.5: 3, 5, 10-11, 13, 16, 21-23 4.6: 1-15 odd, 20, 22, 28 | |
4/8 | Sections 4.7, 5.1, and 5.2 | Change of Basis, Eigenvalues, and Eigenvectors | 4.7: 2, 5, 7, 9, 13, 14 5.1: 1, 5-17 odd, 23-26 5.2: 3, 5, 8, 11, 13, 15, 24 | |
4/15 | Section 5.3 | Diagonalization | 5.3: 1, 5-13 odd, 16, 18, 23-27 odd | |
4/22 | Sections 6.1 and 6.2 | Inner Product, Length, Orthogonality, and Orgthogonal Sets | 6.1: 5, 7, 11, 13, 17, 23, 25, 28, 30 6.2: 3-19 odd, 20, 27-28 | |
4/29 | Sections 6.3 and 6.4 | Orthogonal Projections and the Gram-Schmidt Process | 6.3: 3-17 odd 6.4: 3-11 odd | |
5/6 | Sections 6.7 and 7.1 | Inner Product Spaces and Diagonalization of Symmetric Matrices | 6.7: 1-9 odd, 16, 21-24 7.1: 7, 9, 14, 17, 19, 23 |