Linear Algebra (CS-110)

Spring 22-23, 23-24, 24-25 (First Year Undergraduate Course)

Textbook

  • Strang, G. (2022). Introduction to Linear Algebra. Wellesley-Cambridge Press.

Syllabus

  1. Matrices and Gaussian Elimination
    • Matrix Algebra, Vector Spaces and Subspaces, Linear System Solving, Linear Independence, Basis, and Dimension, The Four Fundamental Subspaces, Linear Transformations and Mappings
  2. Orthogonality
    • Orthogonal Vectors and Subspaces, Cosines and Projections onto Lines, Projections and Least Squares, Orthogonal Bases and Gram-Schmid, orthogonality theorems
  3. Determinants
    • Properties, formulas and applications
  4. Eigenvalues and Eigenvectors
    • Eigenvalues and eigenvectors, Diagonalization of a Matrix, using eigenvalues to solve difference equations, Solving differential equations using eigenvalues, Complex Matrices, Similarity Transformations

Course material is available on Moodle (e-learn platform).