Difference between revisions of "Prep 2011 workshop Linear Algebra"
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* Linear transformations |
* Linear transformations |
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* Applications |
* Applications |
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| + | ** Adjacency matrix |
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| + | ** Least squares |
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| + | ** Curve/surface fitting |
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| + | ** Mixture problems |
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| + | ** Simplex method |
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| + | ** Graph theory |
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| + | * Eigenvalues and eigenvectors |
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| + | * Inner product spaces and abstract vector spaces |
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Revision as of 13:49, 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
