#Module 1
- Vectors
- Matrices
- sum
- scalar multiplication
- matrix multiplication
- matrix norms
- Transformation and Inverse laws
- Elimination matrix
- Permutation matrix
#Module 2
- Gauss Elimination
- Gauss Jordan
- Elimination Matrix
- Pivots and multipliers
- Row Echelon Form
- Reduced Row Echelon Form
- A=LU factorization
- A=LDU
- PA=LU
- Finite Linear Games
- Applications
- Network Flow
- Leontieff
- Kirkhoff
- Chemistry Equation Balance
#Module 3
- 4 Fundamental Subspaces
- Column Space
- Null Space
- Row Space
- Null Space of A transformed
- Independence
- Span
System of Linear Equations