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Update documentation
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kls2177 committed Nov 21, 2023
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6 changes: 3 additions & 3 deletions _sources/chapters/Week7/eig.ipynb
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"cell_type": "markdown",
"metadata": {},
"source": [
"Each red dot in the plot above corresponds to the coordinates of a column of A represented in the 2-D plane.\n",
"Each red dot in the plot above corresponds to the coordinates of a column of **A** represented in the 2-D plane.\n",
"\n",
"Now, let's compute the covariance matrix of **A**:\n",
"\n",
"$$\n",
"\\begin{align}\n",
"\\mathbf{C} &= \\frac{1}{2-1} \\mathbf{A^TA}\\\\\n",
"&= \\mathbf{A^TA}\\\\\n",
"\\mathbf{C} &= \\frac{1}{2-1} \\mathbf{A^T A}\\\\\n",
"&= \\mathbf{A^T A}\\\\\n",
"& = \\begin{bmatrix}\n",
"1 & -1 \\\\\n",
"-1 & 1\n",
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10 changes: 5 additions & 5 deletions chapters/Week7/eig.html
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Expand Up @@ -532,13 +532,13 @@ <h2>Interpretation:<a class="headerlink" href="#interpretation" title="Permalink
<img alt="../../_images/ef91b6d7d75fbca010c93134c49c8b80af4dfad936b0ef5d5afacf9853707bb2.png" src="../../_images/ef91b6d7d75fbca010c93134c49c8b80af4dfad936b0ef5d5afacf9853707bb2.png" />
</div>
</div>
<p>Each red dot in the plot above corresponds to the coordinates of a column of A represented in the 2-D plane.</p>
<p>Each red dot in the plot above corresponds to the coordinates of a column of <strong>A</strong> represented in the 2-D plane.</p>
<p>Now, let’s compute the covariance matrix of <strong>A</strong>:</p>
<div class="math notranslate nohighlight">
\[\begin{split}
\begin{align}
\mathbf{C} &amp;= \frac{1}{2-1} \mathbf{A^TA}\\
&amp;= \mathbf{A^TA}\\
\mathbf{C} &amp;= \frac{1}{2-1} \mathbf{A^T A}\\
&amp;= \mathbf{A^T A}\\
&amp; = \begin{bmatrix}
1 &amp; -1 \\
-1 &amp; 1
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</div>
</details>
<div class="cell_output docutils container">
<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;matplotlib.lines.Line2D at 0x113864f70&gt;
<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;matplotlib.lines.Line2D at 0x1134bcfd0&gt;
</pre></div>
</div>
<img alt="../../_images/569725df8aa999373c5554fa215f7efdf65f318819e74f8317e95319190e6f6d.png" src="../../_images/569725df8aa999373c5554fa215f7efdf65f318819e74f8317e95319190e6f6d.png" />
Expand Down Expand Up @@ -954,7 +954,7 @@ <h2>A few properties of eigenvectors and eigenvalues:<a class="headerlink" href=
</div>
</details>
<div class="cell_output docutils container">
<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;matplotlib.lines.Line2D at 0x1139e23b0&gt;
<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;matplotlib.lines.Line2D at 0x1133b9cc0&gt;
</pre></div>
</div>
<img alt="../../_images/de6ed938a164ee32b6f853d027cd7011bedeb9351f5f87651c59199d6d6d943b.png" src="../../_images/de6ed938a164ee32b6f853d027cd7011bedeb9351f5f87651c59199d6d6d943b.png" />
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2 changes: 1 addition & 1 deletion searchindex.js

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