Chapter 07: Inner Product Spaces

Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN.

Inner product spaces form and important topic of Functional Analysis. These are simply vector space over the field of real or complex numbers and with an inner product defined on them.

  • Definition and examples
  • Orthogonality
  • Orthogonal matrices
  • Eigenvalues and Eigenvectors
  • Similar matrices
  • Symmetric matrices
  • Diagonalization of matrices