**Lecture Videos of:**

**MATH 2940, Linear Algebra for Engineers
**

Videos are from Spring 2009 with Professor Andy Ruina.

**List
of Videos**. Hosted on Cornell's Video On Demand service.

**Videos by lecture:**

01 - Introduction

02 - Matrices, Vectors, and Reduced Row Echelon Form

03 - Introduction to Rank and Matrix Algebra

04 - Example Problems and Review of Known Material

05 - Review of Transformations and Linear Transformations

06 - Vectors, Geometry, Transformations, and Transformation Matrices

07 - Linear Transformations Continued, Review of Matrix Multiplication, and Computer Graphing

08 - Inverse Matrices: Basic Facts and their Relationship with Linear Transformation

09 - Linear Transformation Review; the Kernel and Image

11 - Review of Kernel, Image, and Span; Intro to Subspace and Linear Independence

12 - Subspace, Redundancy, Linear Independence, and Bases

13 - Review and Introduction to Coordinates

14 - Change of Basis

15 - Review of Coordinate Transformations, Vectors, and Vector Spaces

16 - Vector Spaces and Isomorphisms

17 - Abstract Vectors Continued

18 - Abstract Vectors Continued and Change of Basis

19 - Matrices of Linear Transformations with Abstract Vectors

20 - An example of Vector Spaces and Orthogonality

22 - Gram-Schmidt and QR Factorization

23 - Review of Gram-Schmidt and Orthogonal Transformations

24 - Examples of Orthogonal Matrices

25 - Orthogonal Matrices and Examples

26 - Projections and Least Squares

27 - Curve Fitting and the Inner Product

28 - Inner Product Spaces and Function Approximation

32 - Introduction to Eigenvalues and Eigenvectors

33 - Finding Eigenvectors and Eigenvalues

34 - Eigenvectors and Eigenvalues continued

35 - Eigenvectors and Eigenvalues continued; Diagonalization

36 - Examples of Eigenvector and Eigenvalue Problems; Linear Transformations

37 - Complex Eigenvalues and Complex Number Review

38 - Diagonalization Review and Symmetric Matrices

39 - Symmetric Matrices, Eigenvectors and Eigenvalues, and Examples

40 - Springs
and Masses; Singular Value Decomposition (Part I)

41 - Singular
Value Decomposition (SVD) (Part II)