Lecturer: 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.*