Difference between revisions of "Linear algebra"
Jump to navigation
Jump to search
(added Hermitian Matrices) |
m (wikify) |
||
| Line 4: | Line 4: | ||
A detailed list of the topics covered by a typical college-level course in Linear algebra are: | A detailed list of the topics covered by a typical college-level course in Linear algebra are: | ||
| − | *Linear equations | + | *[[Linear equations]] |
:*coefficient matrices and Gauss-Jordan elimination | :*coefficient matrices and Gauss-Jordan elimination | ||
:*geometric representations | :*geometric representations | ||
| − | *Linear transformations | + | *[[Linear transformations]] |
:*transformations, inverses and matrix products | :*transformations, inverses and matrix products | ||
| − | *Linear spaces | + | *[[Linear spaces]] |
:*isomorphisms | :*isomorphisms | ||
:*image and kernel | :*image and kernel | ||
Revision as of 15:00, February 21, 2010
Linear algebra is the mathematical subject that studies vectors, vector spaces, linear maps, and systems of linear equations. Branches of Linear algebra typically include Linear equations, Matrices, Matrix decompositions, Computations, Vectors, Vector spaces, Multilinear algebra, Affine space, Projective space.[1] Linear algebra has numerous applications in engineering, chemistry and physics.
A detailed list of the topics covered by a typical college-level course in Linear algebra are:
- coefficient matrices and Gauss-Jordan elimination
- geometric representations
- transformations, inverses and matrix products
- isomorphisms
- image and kernel
- Nth dimensional spaces and subspaces
- Determinants
- Eigenvalues
- Orthogonality
- Symmetry
- Hermitian Matrices
- Linear differential equations
- Quadratic forms