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 http://www.npac.syr.edu/users/gcf/CPS615Mat95/index.html

• Definition of a Matrix
• The Definition of a Vector
• The Definition of Scalar Products and Orthonormality
• Types of Matrices
• Eigenvectors and Eigenvalues
• Structure of Matrix
• Equations for Eigenvalues---I
• Equations for Eigenvalues---II
• Polynomial Equations for Eigenvalues
• General Properties of Eigenvalues
• Eigenvalues of Hermitean Matrices---I
• Eigenvalues of Hermitean Matrices---II
• Orthogonality of Eigenvectors of Hermitean Matrices
• Orthonormal Eigenvectors and Unitary Transformation Matrices
• Diagonal Form of General Hermitean Matrix---I
• Diagonal Form of General Hermitean Matrix---II
• Eigenvectors and Eigenvalues of Symmetric Matrices