Introduction to Math 244 Course
Chapter 1
1.1 - Introduction to Systems of Linear Equations
1.2 - Gaussian Elimination
1.3 - Matrices and Matrix Operations
1.4 - Inverses and Algebraic Properties of Matrices
1.5 - Elementary Matrices and a Method for Finding Inverse of a Matrix
1.6 - More on Linear Systems and Invertible Matrices
1.7 - Diagonal, Triangular and Symmetric Matrices
Chapter 2
2.1 - Determinants by Cofactor Expansion
2.2 - Evaluating Determinants by Row Reduction
2.3 - Properties of the Determinants and Cramer's Rule
Chapter 3
3.1 - Vectors in 2-Space, 3-Space and n-Space
3.2 - Norm, Dot Product and Distance in R
3.3 - Orthogonality
Chapter 4
4.1 - Real Vector Spaces
4.2 - Subspaces
4.3 - Linear Independence
4.4 - Coordinates and Basis
4.5 - Dimension
4.7 - Row Space, Column Space and Null space
4.8 - Rank, Nullity and the Fundamental Matrix Spaces
4.9 - Matrix Transformations
4.10 - Properties of Matrix Transformations
Chapter 5
5.1 - Eigenvalues and Eigenvectors