Week | Topics Covered |
1 | 1 Linear Equations and Matrices 1.1 Systems of Linear Equations |
2 | 1.2 Matrices 1.3 Matrix Multiplication 1.4 Algebraic Properties of Matrix Operations |
3 | 2 Solving Linear Systems 2.1 Echelon Form of a Matrix 2.2 Solving Linear Systems |
4 | 2.3 Elementary Matrices; Finding A^{-1} 2.4 Equivalent Matrices |
5 |
3 Determinants 3.3 Cofactor Expansion |
6 | 3.4 Inverse of a Matrix |
7 | 3.5 Other Applications of Determinants |
8 | 4 Real Vector Spaces 4.1 Vectors in the Plane and in 3-Space 4.2 Vector Spaces |
9 | 4.3 Subspaces 4.4 Span 4.5 Linear Independence |
10 | 4.6 Basis and Dimension 4.9 Rank of a Matrix |
11 | 4.7 Homogeneous Systems 4.8 Coordinates and Isomorphisms |
12 | 5 Inner Product Spaces 5.1 Length and Direction in R2 and R3 5.4 Gram-Schmidt Process |
13 |
6 Linear Transformations and Matrices |
14 | 6.3 Matrix of a Linear Transformation |