Linear Algebra

• Week 1
  • Singularity
    • Singularity and linear dependency
    • Singularity and the determinant
    • Singularity and rank
• Week 2
  • Solving a system of equations
    • Elimination method
    • Substitution method
• Week 3
  • Vectors
    • The angle between vectors
    • Vector projections
    • Geometric intuition of Dot product
  • Linear transformations
    • Linear transformations and rank
    • Linear transformations and determinant
• Week 4
  • Eigenvalues and Eigenvectors
    • Basis
    • Eigenvalues
    • Eigenvectors
• Extra
  • Principal Componenent Analysis
  • Support Vector Machines
• Exercises
  • Calculate the determinant and inverse of \(W\)
  • Calculate the characteristic polynomial, eigenvalues and eigenvectors of \(A\)