Mathematical Methods Lecture 3 of 34

September 9, 2011 by K.S. Narain

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.

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