MAT 167 Applied Linear Algebra Lecture Slides Page (Spring 2017)

Course: MAT 167 Applied Linear Algebra
CRN: 78139
Credit Units: 4
Class: MWF 3:10pm-4:00pm, ART 217


Instructor: Naoki Saito
Office: 2142 Math. Sci. Building
Email: saito@math.ucdavis.edu
Office Hours: MW 4:10pm-5:30pm

TA1: Bohan Zhou (for students whose last name starts from A to J)
Office: 3131 Math. Sci. Building
Email: bhzhou@ucdavis.edu
Office Hours: F 2pm-3pm

TA2: Yunshen Zhou (for students whose last name starts from K to Z)
Office: 3131 Math. Sci. Building
Email: yszhou@math.ucdavis.edu
Office Hours: R 3pm-4pm

  • Lecture01: Course Objectives, Motivations, Example of Music Signal Compression (Monday, April 3)
  • Lecture02: Examples of Face Images, Term-Document Matrices, Link Graph Matrices of Webpages; Floating Point Computations (Wednesday, April 5 + Friday, April 7)
  • Lecture03: Review of Vectors and Matrices I (Friday, April 7)
  • Lecture04: Review of Vectors and Matrices II (Monday, April 10)
  • Lecture05: Inner Products, Vector Norms, Matrix Norms (Wednesday, April 12)
  • Lecture06: Why Matrix Norms are Important? A Brief Intro to Least Squares Problems (Friday, April 14)
  • Lecture07: Numerical Problems in Solving LS; Orthogonality (Monday, April 17)
  • Lecture08: Projectors (Wednesday, April 19)
  • Lecture09: Projection with Bases; QR Factorization; Classical Gram-Schmidt Orthogonalization Algorithm (Friday, April 21)
  • Lecture10: Modified Gram-Schmidt Orthogonalization Algorithm (Monday, April 24)
  • Lecture11: Householder Triangularization and Givens Rotation (Wednesday, April 26)
  • Lecture12: Examples of Householder Triangularization and Givens Rotation (Wednesday, April 26)
  • Lecture13: Singular Value Decomposition (SVD) I (Friday, April 28)
  • Lecture14: SVD II (Monday, May 1)
  • Lecture15: More about SVD! (Wednesday, May 3)
  • Lecture16: Low Rank Approximations and Condition Numbers (Friday, May 5)
  • Lecture17: SVD, Least Squares Problems, and PCA (Wednesday, May 10)
  • Lecture18: PCA & SVD (Frisday, May 12)
  • Lecture19: Clustering = Unsupervised Learning (Friday, May 12)
  • Lecture20: Nonnegative Matrix Factorization (Monday, May 15)
  • Lecture21: Classification of Handwritten Digits (Wednesday, May 17)
  • Lecture22: Text Mining I (Friday, May 19 + Monday, May 22)
  • Lecture23: Text Mining II (Wednesday, May 24 + Friday, May 26)
  • Lecture24: Searching by Link Structure I [HITS] (Friday, May 26 + Wednesday, May 31)
  • Lecture25: Searching by Link Structure II [PageRank] (Friday, June 2 + Monday, June 5)
  • Lecture26: Reviews/Study Guide for the Final Exam (Wednesday, June 7)


  • Please email me if you have any comments or questions!
    Go back to MAT 167 home page