### 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)