From 6f714b4693ad77ce655964a37078925a82cad710 Mon Sep 17 00:00:00 2001
From: Drew Lewis <drew.lewis@gmail.com>
Date: Mon, 11 May 2026 21:22:54 +0000
Subject: [PATCH] Address small fixes

---
 source/linear-algebra/source/01-LE/01.ptx | 6 +++---
 source/linear-algebra/source/01-LE/02.ptx | 6 +++---
 2 files changed, 6 insertions(+), 6 deletions(-)

diff --git a/source/linear-algebra/source/01-LE/01.ptx b/source/linear-algebra/source/01-LE/01.ptx
index 9d148bbc8..a2c54d722 100644
--- a/source/linear-algebra/source/01-LE/01.ptx
+++ b/source/linear-algebra/source/01-LE/01.ptx
@@ -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"/>
@@ -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">
diff --git a/source/linear-algebra/source/01-LE/02.ptx b/source/linear-algebra/source/01-LE/02.ptx
index 98e0ad1b3..d7f1873ca 100644
--- a/source/linear-algebra/source/01-LE/02.ptx
+++ b/source/linear-algebra/source/01-LE/02.ptx
@@ -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>
@@ -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>
@@ -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>