Prep 2011 workshop Linear Algebra

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* Vectors
 
* Vectors
 
** Geometric objects - lines and planes
 
** Geometric objects - lines and planes
* Matrix operations and algebra
 
** Determinant
 
** Elementary Matrices
 
** LU/QR
 
 
* Elimination
 
* Elimination
 
** Systems of equations
 
** Systems of equations
 
** Gaussian elimination
 
** Gaussian elimination
 +
* Matrix operations and algebra
 +
** Determinant
 +
** Elementary Matrices
 +
** LU
 
* Vector Space Preliminaries
 
* Vector Space Preliminaries
 
** Span
 
** Span

Revision as of 12:58, 23 June 2011

Preliminary Topic List

  • Vectors
    • Geometric objects - lines and planes
  • Elimination
    • Systems of equations
    • Gaussian elimination
  • Matrix operations and algebra
    • Determinant
    • Elementary Matrices
    • LU
  • Vector Space Preliminaries
    • Span
    • linear independence
    • basis and orthogonal basis
    • row space
    • column space
    • null space
    • dimension
    • geometric examples
  • Euclidean vector spaces
  • Linear transformations
  • Applications
    • Adjacency matrix
    • Least squares
    • Curve/surface fitting
    • Mixture problems
    • Simplex method
    • Graph theory
  • Eigenvalues and eigenvectors
  • Inner product spaces and abstract vector spaces
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