Introduction to Linear Algebra

Syllabus:

  • Vectors, Matrices and their Operations
  • Linear Systems, Gaussian Elimination and the LU Factorization
  • Subspaces, Bases and Dimension
  • Least Squares Problems and Linear Regression
  • Orthonormal Bases and the QR Factorization
  • Eigenvalue Problems
  • Singular Value Decomposition

Homework

  • Homework 1: Matrix-Vector Operations
  • Homework 2: Elimination and Inverses
  • Homework 3: Elimination using Matrices and the LU Factorization
  • Homework 4: Subspaces

Midterm Exams

  • Midterm 1

    • Matrix Operations, Elimination, LU Factorization, Subspaces

  • Midterm 2
  • Midterm 3

Jupyter Notebooks

  • Notebook 1: Introduction to NumPy

Past Exams