### 2270 Chapter 1 Lecture Topics S2018

Updated: 24 Jan 2018   Today: 10 Dec 2018
1. Link to the chapter 1 background Directory.
2. Slides: Intro to Linear Algebraic Equations, used for sections 1.1, 1.2 (08 Jan 2018, 212K 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 (28 Oct 2017, 73K pdf)
5. Slides: Linear Algebraic Equations, Unique Solution Case, used for sections 1.1, 1.2 (28 Oct 2017, 100K pdf)
6. Slides: Linear Algebraic Equations, Infinite Solution Case, used for sections 1.1, 1.2 (28 Oct 2017, 120K pdf)
7. Manuscript: Linear Algebraic Equations, No Matrices, used for sections 1.1, 1.2 (28 Oct 2017, 451K pdf)
8. Slides: Three Possibilities with Symbol k, used for sections 1.2, 1.3 (17 Jan 2018, 116K pdf)
9. Manuscript: Vector Models, Gibbs Model, Mailbox Analogy, Parking Lot Analogy, Subspaces, used for sections 1.2 to 1.5 (03 Feb 2017, 397K pdf)
10. Slides: Vector Models, Mailbox Analogy, Gibbs Model, Abstract Vector Space, used for sections 1.2 to 1.5 (17 Jan 2018, 131K pdf)
11. Slides: Vector Algebra, Matrix Multiply, Matrix Algebra, Inverse, used for sections 1.2, 1.3, 1.4 (03 Mar 2012, 157K pdf)
12. Manuscript: Matrix Equations, Row Operations, Elementary Matrices, Inverse Matrix, used for sections 1.2, 1.3, 1.4 (13 Jan 2017, 309K pdf)
13. Slides: Rank, Nullity and the Method of Elimination.
14. Slides: Digital Cameras, Image Sensors and Matrices, used for sections 1.2, 1.3, 1.4 (27 Jan 2016, 158K pdf)
15. Slides: Digital Photographs and Matrices, used for sections 1.2, 1.3, 1.4 (15 Mar 2012, 142K pdf)
16. Slides: Infinitely long column vectors and functions as vectors.
17. Manuscript: Basis, Span, Independence. Algebraic and geometric independence and independence tests. Includes a discussion of Basis, Span, Strang's Special Solutions.
18. Slides: The PIVOT Theorem. Independence and dependence of column vectors.
19. Slides: Intro to Linear Transformations.
20. Slides: Geometry of linear transformations.