2270 Chapter 1 Lecture Topics S2018
Updated: 24 Jan 2018
Today: 22 Feb 2018
 Link to the chapter 1 background Directory.

Slides:
Intro to Linear Algebraic Equations, used for sections 1.1, 1.2
(08 Jan 2018,
212K pdf)
 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.
To try out ideas, use the Alpha Home Page

Slides:
Linear Algebraic Equations, No Solution Case, used for sections 1.1, 1.2
(28 Oct 2017,
73K pdf)

Slides:
Linear Algebraic Equations, Unique Solution Case, used for sections 1.1, 1.2
(28 Oct 2017,
100K pdf)

Slides:
Linear Algebraic Equations, Infinite Solution Case, used for sections 1.1, 1.2
(28 Oct 2017,
120K pdf)

Manuscript:
Linear Algebraic Equations, No Matrices, used for sections 1.1, 1.2
(28 Oct 2017,
451K pdf)

Slides:
Three Possibilities with Symbol k, used for sections 1.2, 1.3
(17 Jan 2018,
116K pdf)

Manuscript:
Vector Models, Gibbs Model, Mailbox Analogy, Parking Lot Analogy, Subspaces, used for sections 1.2 to 1.5
(03 Feb 2017,
397K pdf)

Slides:
Vector Models, Mailbox Analogy, Gibbs Model, Abstract Vector Space, used for sections 1.2 to 1.5
(17 Jan 2018,
131K pdf)

Slides:
Vector Algebra, Matrix Multiply, Matrix Algebra, Inverse, used for sections 1.2, 1.3, 1.4
(03 Mar 2012,
157K pdf)

Manuscript:
Matrix Equations, Row Operations, Elementary Matrices, Inverse Matrix, used for sections 1.2, 1.3, 1.4
(13 Jan 2017,
309K pdf)

Slides: Rank, Nullity and the Method of Elimination.

Slides:
Digital Cameras, Image Sensors and Matrices, used for sections 1.2, 1.3, 1.4
(27 Jan 2016,
158K pdf)

Slides:
Digital Photographs and Matrices, used for sections 1.2, 1.3, 1.4
(15 Mar 2012,
142K pdf)

Slides: Infinitely long column vectors and functions as vectors.

Manuscript: Basis, Span, Independence. Algebraic and geometric independence and independence tests. Includes a discussion of Basis, Span, Strang's Special Solutions.

Slides: The PIVOT Theorem. Independence and dependence of column vectors.

Slides: Intro to Linear Transformations.

Slides: Geometry of linear transformations.