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6 changes: 3 additions & 3 deletions source/linear-algebra/source/01-LE/01.ptx
Original file line number Diff line number Diff line change
Expand Up @@ -253,7 +253,7 @@ Following are some examples of addition and scalar multiplication in <m>\mathbb
</p>
</paragraphs>
<figure xml:id="figure-le1-scalar-mult">
<caption>Visualization of adding vectors</caption>
<caption>Visualization of scaling vectors</caption>
<interactive label="LE1-interactive-scalar-mult" platform="doenetml" width="100%">
<slate surface="doenetml">
<xi:include parse="text" href="doenet/LE1-scalar-mult.xml"/>
Expand Down Expand Up @@ -1135,8 +1135,8 @@ Augmented matrix:

<p> For each of the following relations, show that it is or is not an equivalence relation.
<ul>
<li>For <m>a,b, \in \mathbb{R}</m>, <m>a \sim b</m> if an only if <m>a \leq b</m>.</li>
<li>For <m>a,b, \in \mathbb{R}</m>, <m>a \sim b</m> if an only if <m>|a|=|b|</m>.</li>
<li>For <m>a,b, \in \mathbb{R}</m>, <m>a \sim b</m> if and only if <m>a \leq b</m>.</li>
<li>For <m>a,b, \in \mathbb{R}</m>, <m>a \sim b</m> if and only if <m>|a|=|b|</m>.</li>
</ul></p></statement></exploration>
</subsection>
<subsection component="html">
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6 changes: 3 additions & 3 deletions source/linear-algebra/source/01-LE/02.ptx
Original file line number Diff line number Diff line change
Expand Up @@ -232,7 +232,7 @@ Multiply a row by a nonzero constant, for example:
\left[\begin{array}{cc|c} 1 &amp; 2 &amp; 4
\\ 1 &amp; 3 &amp; 5 \end{array}\right]
\sim
\left[\begin{array}{cc|c} 3(1) &amp; 3(2) &amp; 3(4)
\left[\begin{array}{cc|c} (3)1 &amp; (3)2 &amp; (3)4
\\ 1 &amp; 3 &amp; 5 \end{array}\right]
</me>
</p>
Expand Down Expand Up @@ -423,7 +423,7 @@ solution set?
<me>
\left[\begin{array}{cc|c} 1 &amp; 2 &amp; 3 \\ 4 &amp; 5 &amp; 6 \end{array}\right]
\sim
\left[\begin{array}{cc|c} 2(1) &amp; 2(2) &amp; 2(3) \\ 4 &amp; 5 &amp; 6 \end{array}\right]
\left[\begin{array}{cc|c} (2)1 &amp; (2)2 &amp; (2)3 \\ 4 &amp; 5 &amp; 6 \end{array}\right]
</me>
</p>
</li>
Expand All @@ -432,7 +432,7 @@ solution set?
<me>
\left[\begin{array}{cc|c} 1 &amp; 2 &amp; 3 \\ 4 &amp; 5 &amp; 6 \end{array}\right]
\sim
\left[\begin{array}{cc|c} 1 &amp; 2 &amp; 3 \\ 4-4(1) &amp; 5-4(2) &amp; 6-4(3) \end{array}\right]
\left[\begin{array}{cc|c} 1 &amp; 2 &amp; 3 \\ 4-(4)1 &amp; 5-(4)2 &amp; 6-(4)3 \end{array}\right]
</me>
</p>
</li>
Expand Down
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