Prep 2011 workshop Linear Algebra: Difference between revisions
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* Linear transformations | * Linear transformations | ||
* Applications | * Applications | ||
** Adjacency matrix | |||
** Least squares | |||
** Curve/surface fitting | |||
** Mixture problems | |||
** Simplex method | |||
** Graph theory | |||
* Eigenvalues and eigenvectors | |||
* Inner product spaces and abstract vector spaces | |||
Revision as of 17:49, 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
- Adjacency matrix
- Least squares
- Curve/surface fitting
- Mixture problems
- Simplex method
- Graph theory
- Eigenvalues and eigenvectors
- Inner product spaces and abstract vector spaces