Linear Algebra
MA211 Fall 2016: Northern Michigan University

Class Notes

  • Weeks 1-5 : Aug. 22 - Sept. 23
  • Week 6 : Sept. 26 - Sept. 30
  • Week 7 : Oct. 3 - Oct. 12
  • Week 8 : Oct. 10 - Oct. 14
  • Week 9 : Oct. 17 - Oct. 21
  • Week 10 : Oct. 24 - Oct. 28
  • Week 11 : Oct 31 - Nov. 4
  • Week 12 : Nov. 7 - Nov. 11
  • Week 13 : Nov. 14 - Nov. 18
  • Week 14 : Nov. 28 - Dec. 2

    • Study Guides

  • Exam 1 [Solutions]
  • Study Guide for Exam 2 [Solutions]
  • Study Guide for Exam 3 [Solutions]
  • Study Guide for Final Exam [Solutions]
  • Course Evaluations

    • M-files

  • Directory of mfiles for MA211
  • How to download .m files
  • ImageFrom3DVector.m
  • Create an echo effect in MATLAB
  • Plot a line through a given point parallel to a given vector
  • What do linear combinations of lines look like?
  • How to plot 3 lines on the same plot
  • Solve a system of linear equations to find GPS coordinates
  • Observe how the determinant changes as the column vectors change.
  • Plot a 2-d vector using PlotVector.m
  • Plot a 3-d vector using PlotVector3.m
  • The World Series as a Markov-Chain
  • The transition matrix for The World Series
  • Produce a few 2x2 matrices that give rotations, reflections and translations.
  • Translate the set of vectors V, by the vector u: TranslateByVector(V,u)
  • Used in the Graphics function below
  • Plot a wireframe, given vertex matrix V and connectivity matrix C

    • Project Notes

  • Pandora Internet Radio Project

    • Miscellaneaus Notes

  • Markov Chains
  • 1.16.13: Intro to Vectors
  • 1.28.13: Equations of Planes & Lines
  • MATLAB, Gauss-Jordan Elimination and RREF screencast:  

  • Solving Linear Systems Simple systems, solutions and why G-J Elimination works.
  • Matrices and color: How we create different colors in MATLAB using a 'basis' of Red, Green & Blue.
  • How does computation time change as n grows when computing an inverse of a matrix of size n? See this figure
  • Fun with topology: Hexaflexagons
  • Determinants & Inverses
  • Google Search is an Eigenvector Calculation
  • How Google Finds Your Needle in the Web's Haystack

    • Class Projects

  • Least squares and real climate data

    • Selected Kahn Academy Lectures

  • Text: Section 6.2 Rotation in R3 around the X-axis
  • Text: Section 7.1 Basis for a subspace
  • Text: Section 7.3 Column Space of a Matrix
  • Text: Section 7.3 Dimension of the Column Space or Rank
  • Text: Section 7.3 Null Space and Column Space Basis
  • Read Section 7.3 Visualizations of the rowspace and left nullspace
  • Text: Section 7.7 Introduction to Projections
  • Text: Section 7.7 A Projection onto a line as a Matrix Vector product
  • Text: Section 7.7 Projection onto subspaces
  • Text: Section 7.7 Projection onto a plane
  • Text: Section 7.8 Least Squares Approximation
  • Text: Section 7.8 Least Squares Example
  • Text: Section 7.8 Another Least Squares Example
    • Links for Math 211
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