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
    other links