## Normalize Lengths to Obtain an Orthonormal Basis

## Problem 715

Let

\[

\mathbf{v}_{1}

=

\begin{bmatrix}

1 \\ 1

\end{bmatrix}

,\;

\mathbf{v}_{2}

=

\begin{bmatrix}

1 \\ -1

\end{bmatrix}

.

\]
Let $V=\Span(\mathbf{v}_{1},\mathbf{v}_{2})$. Do $\mathbf{v}_{1}$ and $\mathbf{v}_{2}$ form an orthonormal basis for $V$?

If not, then find an orthonormal basis for $V$.

Add to solve later