<instructions>
<title>Flipping Woody</title>
<p>
Parameters <m>a</m>, <m>b</m>, <m>d</m>, and <m>e</m>, form a <m>2\times 2</m> matrix <m>A</m>, while <m>c</m> and <m>f</m> form a vector <m>\vec{b}</m>.
The two views of Woody shows the effect of the mapping
<md>
\vec{x}\mapsto A\vec{x} + \vec{b}
</md>.
</p>
</instructions>
Parameters \(a\text{,}\)\(b\text{,}\)\(d\text{,}\) and \(e\text{,}\) form a \(2\times 2\) matrix \(A\text{,}\) while \(c\) and \(f\) form a vector \(\vec{b}\text{.}\) The two views of Woody shows the effect of the mapping
