K.S. Narain , ICTP
Linear operators and finite dimensional vector space with n dimension
- Any finite vector space can be presented by linear operator with N*N matrix.
- Finite dimensional space and giving several examples for those matrices.
- Power series expansion and some application are given.
- Identity operator and its properties and the prove for existing of Inverse matrix are mentioned
- The definition of adjoint operator and some of its properties have been said.
- Hermitian operator ,Projection operator , the definition of eigen value and eigen vectors are given.
- The prove of rank one for vectors is included .Ordinary eigenvector is also introduced.
- Generalized ordinary vector is expressed.