Module 1: Linear Systems and Matrices
Introduction to Linear systems
Video: Linear Systems and Solutions
Video: Linear Systems and Matrices
Video: Reduced Row Echelon Form
Video: More with REF and RREF
Activity: Linear Systems
Applet: Practicing Row Operations
Solving Linear Systems
Video: Solving Linear Systems
Video: Systems with No Solutions
Video: Systems with Infinite Solutions
Activity: Solving Linear Systems
Applet: Practice Solving Linear Systems
Homoegenous Systems
Video: Homogeneous Systems
Video: Related Nonhomogeneous Systems
Activity: Homogeneous Systems
Basic Matrix Operations
Video: Matrix Addition
Video: Scalar Multiplication
Video: Matrix-Vector Multiplication
Video: Matrix Multiplication
Video: Transpose and Trace
Activity: Basic Matrix Operations
Applet: Matrix Addition and Scalar Multiplication
Applet: Matrix Multiplication
The matrix Inverse
Video: Inverse of a Matrix
Video: Elementary Matrices
Video: Finding the Inverse
Video: Inverses and Linear Systems
Video: Properties of the Inverse
Video: Invertible Matrix Theorem
Activity: The Matrix Inverse
Applet: Matrix Inverse
Linear combinations
Video: Graphical Description of Vectors
Video: Linear Combinations
Video: Span of Vectors
Video: Linear Independence
Activity: Linear Combinations
Applet: Span of Vectors
Applet: Linear Independence
Parametric Vector Form
Video: Parametric Vector Form
Video: Describing a Line
Video: Describing a Plane
Activity: Parametric Vector Form
Applet: Lines in Parametric Form
Partitioned Matrices
Video: Partitioned Matrices
LU Decomposition
Video: LU Factorization
Linear and Matrix TransFormations
Video: Linear Transformations
Video: Matrix Transformations
Video: Properties of Transformations