Finding an Orthonormal Basis by Gram-Schmidt Method

The Gram-Schmidt Method is an established procedure employed for the orthogonormalization of a specific set of vectors within an inner product space, which is typically the Euclidean space. It is an organized approach that facilitates the transformation of a non-orthogonal set of vectors into an orthogonal or orthonormal basis. The technique incorporates the use of orthogonal projection alongside vector addition and subtraction.