Answer
True
Work Step by Step
The statement is the same with Theorem 5.3.2 Gram-Schmidt Process, if $\{x_1, x_2,..., x_n\}$ is already an orthogonal basis for an inner product space V, then applying the Gram-Schmidt process to this set results in this same set of vectors $\{v_1,v_2,...v_n\}$
