Linear Algebra

Lecture Notes by CKWong


References:

  • J.Hefferon, "Linear Algebra"
  • T.M.Apostol ,"Linear Algebra", Wiley (97)

  • Lectures ( Powerpoint format ) ..... nb = Mathematica notebooks for related calculations

  • 1.I. Solving Linear Systems zipped .....(Last updated 2/1/07) ..... nb
  • 1.II. Linear Geometry of n-Space zipped .....(Last updated 2/1/07)
  • 1.III. Reduced Echelon Form zipped .....(Last updated 2/1/07)
  • 1.Topics .... zipped .....(Last updated 2/1/07) ..... nb

  • 2.I. Definition of Vector Space zipped .....(Last updated 2/1/07) ..... nb
  • 2.II. Linear Independence zipped .....(Last updated 2/1/07)
  • 2.III. Basis and Dimension zipped .....(Last updated 4/10/07)
  • 2.Topics .... zipped .....(Last updated 4/10/07) ..... nb

  • 3.I. Isomorphisms zipped .....(Last updated 4/10/07) ..... nb
  • 3.II. Homomorphisms zipped .....(Last updated 4/10/07)
  • 3.III. Computing Linear Maps zipped .....(Last updated 4/10/07)
  • 3.IV. Matrix Operations zipped .....(Last updated 4/10/07)
  • 3.V. Change of Basis zipped .....(Last updated 4/10/07)
  • 3.VI. Projection zipped .....(Last updated 5/1/07)

    All-in-one zip file version is Here .....(Last updated 4/10/07)


    Short Version:

  • 3.I. Homomorphisms & Isomorphism zipped .....(Last updated 4/19/07)
  • 3.II. Computing Linear Maps zipped .....(Last updated 4/19/07)
  • 3.III. Matrix Operations zipped .....(Last updated 5/1/07)
  • 3.IV. Change of Basis zipped .....(Last updated 5/1/07)
  • 3.V. Projection zipped .....(Last updated 5/1/07)
  • 3.Topics .... zipped .....(Last updated 6/1/07) ..... nb

  • 4.I. Definition zipped .....(Last updated 6/1/07)
  • 4.II. Geometry of Determinants zipped .....(Last updated 6/1/07)
  • 4.III. Other Formulas zipped .....(Last updated 6/1/07)
  • 4.Topics .... zipped .....(Last updated 6/1/07)

  • 5.I. Complex Vector Spaces zipped .....(Last updated 6/1/07)
  • 5.II. Similarity zipped .....(Last updated 6/11/07)
  • 5.III. Nilpotence zipped .....(Last updated 6/11/07)
  • 5.IV. Jordan Form zipped .....(Last updated 6/11/07)


  • Summaries
  • Solutions to Homework Assignments

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