MAT 167 Applied Linear Algebra Lecture Slides Page (Fall 2025)

  • Lecture01: Course Objectives, Motivations, Example of Music Signal Compression (Wednesday, September 24)
  • Lecture02: Examples of Face Images, Term-Document Matrices, Link Graph Matrices of Webpages; Floating Point Computations (Friday, September 26 + Monday, September 29)
  • Lecture03: Review of Vectors and Matrices I (Monday, September 29)
  • Lecture04: Review of Vectors and Matrices II (Wednesday, October 1)
  • Lecture05: Inner Products, Vector Norms, Matrix Norms (Friday, October 3)
  • Lecture06: Why Matrix Norms are Important? A Brief Intro to Least Squares Problems (Monday, October 6 -- Wednesday, October 8)
  • Lecture07: Numerical Problems in Solving LS; Orthogonality (Friday, October 10)
  • Lecture08: Projectors (Monday, October 13 -- Wednesday, October 15)
  • Lecture09: Projection with Bases; QR Factorization; Classical Gram-Schmidt Orthogonalization Algorithm (Wednesday, October 15 -- Friday, October 17)
  • Lecture10: Modified Gram-Schmidt Orthogonalization Algorithm (Friday, October 17)
  • Lecture11: Householder Triangularization and Givens Rotation (Monday, October 20)
  • Lecture12: Examples of Householder Triangularization and Givens Rotation (Wednesday, October 22)
  • Lecture13: Singular Value Decomposition (SVD) I (Friday, October 24)
  • Lecture14: SVD II (Monday, October 27)
  • Lecture15: More about SVD! (Friday, October 31)
  • Lecture16: Low Rank Approximations and Condition Numbers (Monday, November 3)
  • Lecture17: SVD, Least Squares Problems, and PCA (Wednesday, November 5)
  • Lecture18: PCA & SVD (Friday, November 7)
  • Lecture19: Clustering = Unsupervised Learning (Monday, November 10)
  • Lecture20: Nonnegative Matrix Factorization (Wednesday, November 12 -- Friday, November 14)
  • Lecture21: Classification of Handwritten Digits (Friday, November 14 + Monday, November 17)
  • Lecture22: Text Mining I (Monday, November 17 -- Wednesday, November 19)
  • Lecture23: Text Mining II (Wednesday, November 19 -- Friday, November 21)
  • Lecture24: Searching by Link Structure I [HITS] (Friday, November 21 + Monday, November 24)
  • Lecture25: Searching by Link Structure II [PageRank] (Wednesday, November 26 + Monday, December 1)

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