Difference between revisions of "Prep 2011 workshop Linear Algebra"
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* Vectors |
* Vectors |
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** Geometric objects - lines and planes |
** Geometric objects - lines and planes |
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| − | * Matrix operations and algebra |
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| − | ** Determinant |
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| − | ** Elementary Matrices |
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| − | ** LU/QR |
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* Elimination |
* Elimination |
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** Systems of equations |
** Systems of equations |
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** Gaussian elimination |
** Gaussian elimination |
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| + | * Matrix operations and algebra |
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| + | ** Determinant |
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| + | ** Elementary Matrices |
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| + | ** LU |
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* Vector Space Preliminaries |
* Vector Space Preliminaries |
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** Span |
** Span |
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Revision as of 13:58, 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
