Prep 2011 workshop Linear Algebra: Difference between revisions
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* Vectors | * Vectors | ||
** Geometric objects - lines and planes | ** Geometric objects - lines and planes | ||
* Elimination | |||
** Systems of equations | |||
** Gaussian elimination | |||
* Matrix operations and algebra | * Matrix operations and algebra | ||
** Determinant | ** Determinant | ||
** Elementary Matrices | ** Elementary Matrices | ||
** LU | ** LU | ||
* Vector Space Preliminaries | * Vector Space Preliminaries | ||
** Span | ** Span | ||
Revision as of 17:58, 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