2270 Chapter 4 Lecture Topics S2019

1. Independence, Pivot Theorem
   Manuscript: independence.pdf
   Slides: Pivot Theorem, pivotTheorem.pdf
   
2. Elementary Matrices
   Slides: elementaryMatricesTheorem.pdf
   
3. Vector Spaces
   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 Space Properties, vectorModelsVectorSpaces.pdf
   Figure: Parking Lot Analogy, Subspace of a Vector Space
   Slides: Infinitely long column vectors and functions as vectors.
4. Slides: Rank, Nullity and the Method of Elimination.
5. Slides: Digital Cameras, Image Sensors and Matrices, used for sections 1.2, 1.3, 1.4 (27 Jan 2016, 158K pdf)
6. Slides: Digital Photographs and Matrices, used for sections 1.2, 1.3, 1.4 (15 Mar 2012, 142K pdf)
7. Slides: Intro to Linear Transformations.
8. Slides: Vector Algebra, Matrix Multiply, Matrix Algebra, Inverse, used for sections 1.2, 1.3, 1.4 (08 Nov 2018, 139K pdf)
9. Manuscript: Matrix Equations, Row Operations, Elementary Matrices, Inverse Matrix, used for sections 1.2, 1.3, 1.4 (13 Jan 2017, 309K pdf)
10. Slides: Coordinates, matrix of change of basis, used for sections 4.5-4.9 (01 Mar 2019, 106K pdf)