Prep 2011 workshop Linear Algebra: Difference between revisions

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* Matrix operations and algebra
* Matrix operations and algebra
** Determinant
** Determinant
** Elementary
** Elementary Matrices
** LU/QR
* Elimination
* Elimination
** Systems of equations
** Systems of equations
** Gaussian elimination
** Gaussian elimination
* 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

Revision as of 17:46, 23 June 2011

Preliminary Topic List

  • Vectors
    • Geometric objects - lines and planes
  • Matrix operations and algebra
    • Determinant
    • Elementary Matrices
    • LU/QR
  • Elimination
    • Systems of equations
    • Gaussian elimination
  • 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