Quantum Chemistry Course 2005, Exercise 1

1. Write a computer program that constructs an orthonormal basis by performing
   1. Gram-Schmidt orthonormalization
   2. Canonical orthonormalization
   3. Symmetric orthonormalization
   The non-orthogonal vectors can be obtained by using random numbers.
   Plan the code such that the subroutines can be used in fortcoming exercises.
   Choose options 1) and 2) or 3).