2270 Chapter 2 Lecture Topics S2016

1. Linear Algebraic Equations
   linearequDRAFT.pdf
   backSubstitutionRemarks2013.txt
   jibberish-example.txt
   
2. Matrix Equations, Rank and Nullity
   rankNullityElimination.pdf
   matrixOperations2008.pdf
   matrix-eqn.pdf
   vec-matrix.pdf
   functionsInfinitelyLongColVector.pdf
   
3. Orthogonality
   orthogonality.pdf
4. Independence, Pivot Theorem
   independence.pdf
   pivotTheorem.pdf
   
5. No Solution Example, using Maple
   exampleNoSolutionChapter3.pdf
   exampleNoSolutionChapter3.mpl
   exampleNoSolutionChapter3.mw
   
6. Linear Transformations, Coordinates
   linearTransformation.pdf
   geometryLinearTransformation.pdf
   
7. Determinants
   determinants2008.pdf
   determinant-theory.pdf
   
8. Inverses of Matrices and Linear Transformations
   inverseMethodRREF.pdf
   elementaryMatricesTheorem.pdf
   
9. Vector Space Properties
   vectorModelsVectorSpaces.pdf
   
10. Parking Lot Analogy
    Figure: Parking Lot Analogy for Subspace of a Vector Space
    Manuscript: vec-matrix.pdf