Gram–Schmidt process

The Gram–Schmidt process is a method for orthonormalising a set of vectors in an inner product space, most commonly the Euclidean space Rⁿ.

The Gram-Schmidt process being executed on three linearly independent, non-orthogonal vectors of a basis for R³.

The first two steps of the Gram–Schmidt process. (below)

References

• http://en.wikipedia.org/wiki/Gram-Schmidt