Difference between revisions of "Prep 2011 workshop Linear Algebra"
Jump to navigation
Jump to search
m (continue creation) |
m (Updates from discussion) |
||
Line 2: | Line 2: | ||
* Vectors |
* Vectors |
||
** Geometric objects - lines and planes |
** Geometric objects - lines and planes |
||
− | * Matrix operations and algebra |
||
− | ** Determinant |
||
− | ** Elementary Matrices |
||
− | ** LU/QR |
||
* Elimination |
* Elimination |
||
** Systems of equations |
** Systems of equations |
||
** Gaussian elimination |
** Gaussian elimination |
||
+ | * Matrix operations and algebra |
||
+ | ** Determinant |
||
+ | ** Elementary Matrices |
||
+ | ** LU |
||
* Vector Space Preliminaries |
* Vector Space Preliminaries |
||
** Span |
** Span |
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