CAAM 335 · Matrix AnalysisSpring 2018 · Rice UniversityMAIN PAGE // LECTURES // HOMEWORKS // EXAMS // PIAZZA

Lecture 18 (W 2/23):  Least squares examples and projection matrices. Chapter 6, sections 6.1 and 6.2 in the Course Notes, Supplementary notes ("Examples of linear least squares problem", "Projections") Code for fitting a circle. 
Lecture 17 (W 2/21):  Least squares problems: examples. Chapter 6, sections 6.1 and 6.2 in the Course Notes, Supplementary notes ("Linear least squares problem") Code for fitting a circle. 
Lecture 16 (M 2/19):  Least squares problems. Chapter 6, sections 6.1 and 6.2 in the Course Notes, Supplementary notes ("Linear least squares problem") Code for linear regression. 
Lecture 15 (F 2/16):  Vector spaces and linear transformations. Supplementary notes ("Vector spaces", subsection "Linear Transformations") 
Lecture 14 (W 2/14):  Fundamental theorem; vector spaces. Supplementary notes ("Fundamental Theorem of Linear Algebra", "Vector spaces") 
Lecture 13 (M 2/12):  The fundamental theorem of linear algebra. Chapter 5 (sections 5.15.2) and supplementary notes ("Fundamental Theorem of Linear Algebra") 
Lecture 12 (W 2/7):  Computing bases for range and null spaces, dimensions of subspaces. Chapter 4 (sections 4.14.3) and supplementary notes ("Range Space and Null Space of a Matrix") 
Lecture 11 (M 2/5):  Range and null spaces, span and basis. Chapter 4 (sections 4.14.2) and supplementary notes ("Range Space and Null Space of a Matrix") 
Lecture 10 (F 2/2):  More complex planar trusses and null spaces. Chapter 3 (sections 3.3) and supplementary notes ("Planar Trusses", "Range Space and Null Space of a Matrix") Codes: 3x3 fiber code (fiber.m), truss codes (truss.m and stiff.m). 
Lecture 9 (W 1/31):  Planar trusses, singular matrices. Chapter 3 (sections 3.3) and supplementary notes ("Planar Trusses") 
Lecture 8 (M 1/29):  Review of LU factorization, theory on matrix inverse. Chapter 3 (sections 3.13.3) and supplementary notes ("Matrix Inverse") 
Lecture 7 (F 1/26):  Matrix inverse, LU factorization, determinant. Chapter 3 (sections 3.13.3) and supplementary notes ("Matrix Inverse" and "Determinant" sections) 
Lecture 6 (W 1/24):  Gaussian elimination, matrix inverse. Chapter 3 (sections 3.1, 3.2) 
Lecture 5 (M 1/22):  Electrical networks with batteries, massspring networks Chapter 2 fib2.m Code for electrical networks with batteries 
Lecture 4 (F 1/19):  Electrical networks, compartment models of neurons Chapter 2 fiber_demo.m (3compartment case in class) fib1.m (multicompartment case) 
Cancelled (W 1/17):  Icy roads (stay warm) 
Holiday (M 1/15):  MLK day 
Lecture 3 (F 1/12):  Google PageRank  Supplemental notes on PageRank  6website PageRank demo from clas pageRankExample.m.  MATLAB demo pagerank_demo1.m. Additional reading:  Chapter 7 Google PageRank in Cleve Moler's Ebook Experiments with MATLAB and the corresponding MATLAB code (click on the Functions tab and look for pagerank).  The original papers The anatomy of a largescale hypertextual Web search engine by S. Brin and L. Page, and The PageRank Citation Ranking: Bringing Order to the Web by L. Page, S. Brin, R.Motwani, and T. Winograd. Lecture notes 
Lecture 2 (W 1/10):  Matrixvector and matrixmatrix multiplication Supplemental notes on matrix multiplicaton Chapter 1. 
Lecture 1 (M 1/8):  Course overview; vectors, basic operations, norms. Chapter 1. 