Homework Statement
Suppose V is a real inner-product space and (v1, . . . , vm) is a
linearly independent list of vectors in V. Prove that there exist
exactly 2^m orthonormal lists (e1, . . . , em) of vectors in V such
that
span(v1, . . . , vj) = span(e1, . . . , ej)
for all j ∈ {1, . . . ...