Chapter 1: Systems of Equations


1.1: Linear Systems

Coming Soon


1.2: Solving Linear Systems

Coming Soon


1.3: Homogeneous Systems

Coming Soon


Chapter 2: Matrix Operations


2.1: Basic Matrix Operations

Coming Soon


2.2: The Matrix Inverse

Coming Soon


2.3: Linear Combinations

Coming Soon


2.4: Parametric Vector Form

Coming Soon


2.5: Partitioned Matrices

Coming Soon


2.6: LU Factorization

Coming Soon


2.7: Linear and Matrix Transformations

Coming Soon


Chapter 3: Determinants


3.1: Basics of the Determinant

Coming Soon


3.2: More with Determinants

Coming Soon


Chapter 4: Vector Spaces


4.1: Vector Spaces and Subspaces

Coming Soon


4.2: Basis and Dimension

Coming Soon


4.3: Column, Row, and Null Space

Coming Soon


4.4: Coordinate Vectors

Coming Soon


Chapter 5: Eigensystems


5.1: Eigenvalues and eigenvectors

Coming Soon


5.2: Diagonalization

Coming Soon


Chapter 6: Inner Product Spaces


6.1: The Dot Product

Coming Soon


6.2: Orthogonal Sets and Projections

Coming Soon


6.3: The Gram-schmidt Process

Coming Soon


6.4: Least-Squares Model

Coming Soon


6.5: Inner Product Spaces

Coming Soon