n>
<span><span class="co">## James     57.3   83.0  12    1</span></span></code></pre>
</div>
<div class="section level2">
<h2 id="orthogonalization-by-projections">Orthogonalization by projections<a class="anchor" aria-label="anchor" href="#orthogonalization-by-projections"></a>
</h2>
<p>The Gram-Schmidt process treats the variables in a given order,
according to the columns in <code>X</code>. We start with a new matrix
<code>Z</code> consisting of <code>X[,1]</code>. Then, find a new
variable <code>Z[,2]<