This is a description of a teaching experience in Linear Algebra!

Applied Linear Algebra

Part 1- Linear Algebra
Part 2- Matrix Analysis Part 3- Numerical Linear Algebra

Basics of Linear Algebra

• Linear Equation
• Vectors & Matrix
• Linear Independence, Span, and Bases
• Linear Transformations
• Determinants
• Eigenvalues and Eigenvectors
• Inner Product Spaces
• Orthogonal Projection
• Least Squares
• Singular Value Decomposition

Matrix Computation

• Matrix multiplication
• Matrix decomposition

Linear Algebra in Python

• Vectors & Matrix in Python
• Matrix and vector products
• Matrix Decompositions
• Matrix eigenvalues
• Norms and other numbers
• Solving equations and inverting matrices

Numerical Linear Algebra

• Matrix Computation
• Matrix Decompositions
• Algorithms
• Conditioning and stability
• Iterative methods