Slitex Foilset CPS615 Module on Matrices and EigenStructure
This Module discusses basic properties of finite matrices and in
particular eigenvalues and Eigenvectors for the typical symmetric
or Hermitean Matrices one gets in many physical computations
1:Definition of a Matrix
2:The Definition of a Vector
3:The Definition of Scalar Products and Orthonormality
4:Types of Matrices
5:Eigenvectors and Eigenvalues
6:Structure of Matrix
7:Equations for Eigenvalues---I
8:Equations for Eigenvalues---II
9:Polynomial Equations for Eigenvalues
10:General Properties of Eigenvalues
11:Eigenvalues of Hermitean Matrices---I
12:Eigenvalues of Hermitean Matrices---II
13:Orthogonality of Eigenvectors of Hermitean Matrices
14:Orthonormal Eigenvectors and Unitary Transformation Matrices
15:Diagonal Form of General Hermitean Matrix---I
16:Diagonal Form of General Hermitean Matrix---II
17:Eigenvectors and Eigenvalues of Symmetric Matrices