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vect.xml
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<?xml version="1.0" encoding="UTF-8"?>
<chapter xmlns:xi="http://www.w3.org/2001/XInclude">
<title>Vectors</title>
<introduction>
</introduction>
<section>
<title>Vectors and scalars</title>
<introduction>
<p>Dummy text for introduction.</p>
</introduction>
<subsection>
<title>Vectors</title>
</subsection>
<subsection>
<title>Vector operations</title>
</subsection>
<subsection>
<title>Linear combinations</title>
</subsection>
<subsection>
<title>The Euclidean basis</title>
</subsection>
<subsection>
<title>parametric equations for lines and planes in 3-space</title>
</subsection>
</section>
<section>
<title>The matrix-vector product</title>
<p>Dummy text for introduction.</p>
</section>
<section>
<title>Homogeneous and non-homogeneous systems</title>
<p>Dummy text for introduction.</p>
</section>
<section>
<title>Matrix-matrix products</title>
<introduction>
<p>Dummy text for introduction.</p>
</introduction>
<subsection>
<title>Basic transformations</title>
</subsection>
<subsection>
<title>Compositions</title>
</subsection>
<subsection>
<title>The matrix of a composition</title>
</subsection>
<subsection>
<title>Matrix multiplication</title>
</subsection>
</section>
<section>
<title>Vector spaces - an introduction</title>
<p>Dummy text for introduction.</p>
</section>
<section>
<title>Dependence and independence</title>
<p>Dummy text for introduction.</p>
</section>
<section>
<title>Bases and dimension</title>
<p>Dummy text for introduction.</p>
</section>
</chapter>