Linear Algebra

Consistent and Inconsistent Systems

Determinants
- Expansion by Minors
- Using Gaussian Elimination
- Inverses and Solutions to Systems
- Definition of the Determinant

Eigenvalues and Eigenvectors
Equations
- Coding

Least Squares Approximation
- Proof of Normal Equations

Markov Chains
Matrices
- Introduction
- Addition
- Multiplication

Numerical Challenges

Vector
- Vector Spaces 
- Subspaces of the Vector Space
- Linear Dependence of Vectors. Basis of the Vector Space
- Norm of a Vector

 


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