Difference between revisions of "Prep 2011 workshop Linear Algebra"

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(Created page with 'Preliminary Topic List * Vectors ** Geometric objects - lines and planes * Matrix operations and algebra ** Determinant ** Elementary * Elimination ** Systems of equations ** Gau…')
 
(Create page from discussions)
Line 4: Line 4:
 
* 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 13:46, 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
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