K.S. Narain , ICTP
lecture 3
Map between two vectors , Cauchy-Schwarz inequality and Orthogonalization Theorem
- The existence of unique map between two vectors and definition of linear map is given. (giving all properties)
- Cauchy-Schwarz inequality and complex vector and their properties with some examples are introduced.
- The notion of distance between two vectors mentioned.
- Orthogonalization Theorem and Graham Schmidt method by giving several examples were said.
- Transpose vector and its properties realized.
- Unitary group, unitary transformation ,parity transformation
- Definition of linear generator is explained.