Difference between revisions of "Linear algebra"
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Revision as of 22:59, January 31, 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:
- Linear equations
- coefficient matrices and Gauss-Jordan elimination
- geometric representations
- Linear transformations
- transformations, inverses and matrix products
- Linear spaces
- isomorphisms
- image and kernel
- Nth dimensional spaces and subspaces
- Determinants
- Eigenvalues
- Orthogonality
- Symmetry
- Hermitian Matrices
- Linear differential equations
- Quadratic forms