### 2270 Chapter 1 Lecture Topics S2016

Updated: 05 Feb 2016   Today: 11 Dec 2018
1. Link to the chapter 1 background Directory.
2. Slides: Intro to Linear Algebraic Equations, used for sections 1.1, 1.2 (10 Jan 2016, 237K pdf)
3. Wolfram Alpha is a useful tool for solving linear algebra computational problems, from an internet browser using a laptop or SmartPhone.
There is a handwriting interface available for limited experimentation: Here.
To use Wolfram Alpha for more serious applications, read about math possibilities Here.
4. Slides: Linear Algebraic Equations, No Solution Case, used for sections 1.1, 1.2 (16 Mar 2016, 73K pdf)
5. Slides: Linear Algebraic Equations, Unique Solution Case, used for sections 1.1, 1.2 (16 Mar 2016, 100K pdf)
6. Slides: Linear Algebraic Equations, Infinite Solution Case, used for sections 1.1, 1.2 (16 Mar 2016, 120K pdf)
7. Manuscript: Linear Algebraic Equations, No Matrices, used for sections 1.1, 1.2 (10 Jan 2016, 467K pdf)
8. Slides: Three Possibilities with Symbol k, used for sections 1.2, 1.3 (03 Mar 2012, 129K pdf)
9. Manuscript: Vector Models, Gibbs Model, Mailbox Analogy, Parking Lot Analogy, Subspaces, used for sections 1.2 to 1.5 (27 Jan 2016, 395K pdf)
10. Slides: Vector Algebra, Matrix Multiply, Matrix Algebra, Inverse, used for sections 1.2, 1.3, 1.4 (03 Mar 2012, 157K pdf)
11. Manuscript: Matrix Equations, Row Operations, Elementary Matrices, Inverse Matrix, used for sections 1.2, 1.3, 1.4 (27 Jan 2016, 305K pdf)
12. Slides: Rank, Nullity and the Method of Elimination.
13. Slides: Digital Cameras, Image Sensors and Matrices, used for sections 1.2, 1.3, 1.4 (27 Jan 2016, 158K pdf)
14. Slides: Digital Photographs and Matrices, used for sections 1.2, 1.3, 1.4 (03 Mar 2012, 142K pdf)
15. Slides: Infinitely long column vectors and functions as vectors.
16. Slides: The PIVOT Theorem. Independence and dependence of column vectors.
17. Slides: Intro to Linear Transformations.
18. Slides: Geometry of linear transformations.