Let be the
kernel
of the
linear mapping
-
As a linear subspace of , carries the induced inner product. We want to determine an orthonormal basis of . For this, we consider the basis consisting of the vectors
-
We have
;
therefore,
-
is the corresponding normed vector. According to
orthonormalization process,
we set
We have
-
Therefore,
-
is the second vector of the orthonormal basis.