# 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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