Charchil Building The Graduate School
  Sylabus

algebra 1/extended - 104016
  Lecture Tutorial Project/
Seminar
Laboratory
Weekly
Hours
4 2    
Credit
Points
5.0
 

Overlapping Courses: algebra a 104167
Incorporated Courses: algebra 1 104005
linear algebra 104006
linear algebra m 104009


Fields. Complex numbers. Matrices. Linear equations - solution by elimination.
Invertible matrices. Determinants. Linear spaces: basis and dimensions.
Linear transformations: representation by matrices, similarity, characteristic
values, diagonalization. Cayley-Hamilton theorem. Minimal polynomial. Jordan Normal Form.
Inner product spaces. Gram-Schmidt process. Unitary and Hermitian transformations.
Quadratic forms. Symmetric matrices.

 
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Created in 19/05/2013 Time 23:03:48