Calendar

Week 1 Introduction to Linear Algebra and Data Science

Sep 5

IntroIntroduction to Linear Algebra and Data Science: Slides L1 Slides L2 and L3

LectureVector I: Definition and Basic Operations: Slides L1 Slides L2 and L3

Sep 7

LectureVector II: Norm and Inner Product: Slides L1 Slides L2 and L3

Week 2 System of Linear Equations

Sep 12

LectureSystems of Linear Equations I/Matrix Operation: Slides L1 Slides L2 and L3

TutorialBasics about vector: Slides HW Submission Guidance

Sep 13

AssignmentVectors and Vector Operations: Assignment 1

Sep 14

LectureMatrix Operation: Slides L1 Slides L2 and L3

Week 3 Matrix Operations & Linear Systems

Sep 19

LectureMatrix Multiplication Continued: Slides L1 Slides L2 and L3

TutorialMatrix Multiplication: Slides

Sep 21

LectureSolving Linear Systems: Slides L1 Slides L2 and L3

Week 4 Solving Linear Systems

Sep 26

LectureGaussian Elimination & LU decomposition: Slides L1 Slides L2 and L3

TutorialMatrix Multiplication & GE: Slides

Sep 28

LecturePLU & Inverses: Slides L1 Slides L2 and L3

AssignmentSystem of Linear Equations, Matrix Multiplication: Assignment 1

Week 5 PLU, Inverses

Oct 10

LecturePLU: Slides L1 Slides L2 and L3

TutorialLU & Inverse: Slides

Oct 12

LectureInverses & Gause-Jordan: Slides L1 Slides L2 and L3

AssignmentMatrix Operations, Inverse, and LU: Assignment 3

Week 6 General Linear Systems

Oct 17

LectureRREF & Linear Space: Slides L1 Slides L2 and L3

TutorialPLU: Slides

Oct 19

LectureSolving general linear system: Slides L1 Slides L2 and L3

Week 7 Linear Space & Dimension & Rank

Oct 24

LectureLinear Space: Slides L1 Slides L2 and L3

TutorialBlock LU & Linear Space: Slides

Oct 26

LectureDimension & Rank: Slides L1 Slides L2 and L3

Oct 27

AssignmentLinear space, Basis, Dimension, Solving Ax=b: Assignment 4

Week 8 Four Foundamental Subspaces & Least Square

Oct 31

LectureFoundamental Subspaces: Slides L1 Slides L2 and L3

TutorialBasis, Rank, Dependence: Slides

Nov 2

LectureLeast Square: Slides L1 Slides L2 and L3

Week 89 Orthogonal Basis & Determinant

Nov 7

LectureOrthogonal Basis & Gram Schmidt Process: Slides L1 Slides L2 and L3

TutorialFoundamental Subspaces: Slides

Nov 9

LectureDeterminant: Slides L1 Slides L2 and L3

Week 10 Determinant & Linear Transformation

Nov 14

LectureDeterminant: Slides L1 Slides L2 and L3

TutorialOrthogonal Basis & Determinant: Slides

Nov 16

LectureLinear Transformation: Slides L1 Slides L2 and L3

Nov 21

LectureLinear Transofrmation: Slides L1 Slides L2 and L3

TutorialDeterminant & Linear Transformation: Slides

Nov 23

LectureEigenvalue, Eigenvectors: Slides L1 Slides L2 and L3

Nov 28

LectureSpectral Decomposition: Slides L1 Slides L2 and L3

TutorialEigen Related: Slides

Nov 30

LectureEigen related properties: Slides L1 Slides L2 and L3

Dec 5

LectureSingular value: Slides L1 Slides L2 and L3

Dec 7

LectureSVD: Slides L1 Slides L2 and L3