2270 Chapter 4 Lecture Topics S2018


Updated: 14 Feb 2018   Today: 29 Mar 2024
  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 (03 Mar 2012, 157K 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)