From b1d2023aa43557c8ef58a6c9a875b69c60523943 Mon Sep 17 00:00:00 2001
From: Steven Clontz <steven.clontz@gmail.com>
Date: Fri, 14 Nov 2025 13:59:45 -0600
Subject: [PATCH 1/2] refactor similar to MX1 to manually calculate one column

---
 .../exercises/outcomes/MX/MX1/generator.sage  | 11 ++++++-----
 .../exercises/outcomes/MX/MX1/template.xml    | 19 ++++++++++---------
 2 files changed, 16 insertions(+), 14 deletions(-)

diff --git a/source/linear-algebra/exercises/outcomes/MX/MX1/generator.sage b/source/linear-algebra/exercises/outcomes/MX/MX1/generator.sage
index 0859ada84..f2ecca0fc 100644
--- a/source/linear-algebra/exercises/outcomes/MX/MX1/generator.sage
+++ b/source/linear-algebra/exercises/outcomes/MX/MX1/generator.sage
@@ -22,16 +22,17 @@ class Generator(BaseGenerator):
         productName = letters[indices.index("L")] + letters[indices.index("R")]
         product = matrices[indices.index("L")] * matrices[indices.index("R")]
 
+        
+        ordinal = randrange(product.ncols())
+        ordinal_string = ["1st", "2nd", "3rd", "4th"][ordinal]
 
         return {
             "A": matrices[0],
             "B": matrices[1],
             "C": matrices[2],
-#            "leftMatrix": letters[indices.index("L")],
-#            "rightMatrix": letters[indices.index("R")],
-#            "leftDim": dims[0],
-#            "middleDim": dims[1],
-#            "rightDim": dims[2],
             "productName": productName,
             "product": product,
+            "ord_value": ordinal+1,
+            "ordinal": ordinal_string,
+            "ord_col": column_matrix(product.column(ordinal)),
         }
diff --git a/source/linear-algebra/exercises/outcomes/MX/MX1/template.xml b/source/linear-algebra/exercises/outcomes/MX/MX1/template.xml
index 597868244..3e764c22a 100644
--- a/source/linear-algebra/exercises/outcomes/MX/MX1/template.xml
+++ b/source/linear-algebra/exercises/outcomes/MX/MX1/template.xml
@@ -18,22 +18,23 @@
     </knowl>
     <knowl>
         <content>
-            <p>Find their product using technology.</p>
+            <p>Show how to find the {{ordinal}} column of this product without technology.</p>
         </content>
-        <outtro>
-            <p>
-                <me>{{productName}} = {{product}}</me>
-            </p>
-        </outtro>
+            <outtro>
+                <p>
+<me>
+{{productName}}\vec e_{ {{ord_value}} } = {{ord_col}}
+</me>
+                </p>
+            </outtro>
     </knowl>
     <knowl>
         <content>
-            <p>Show how to find this product without technology.</p>
+            <p>Find their product using technology.</p>
         </content>
         <outtro>
             <p>
-                Compute each <m>{{productName}}\vec e_i</m> to obtain
-                each column.
+                <me>{{productName}} = {{product}}</me>
             </p>
         </outtro>
     </knowl>

From 50c2727f83dd58a212bb15129254eeaacea665d4 Mon Sep 17 00:00:00 2001
From: Steven Clontz <steven.clontz@gmail.com>
Date: Fri, 14 Nov 2025 14:28:06 -0600
Subject: [PATCH 2/2] Update
 source/linear-algebra/exercises/outcomes/MX/MX1/generator.sage

---
 source/linear-algebra/exercises/outcomes/MX/MX1/generator.sage | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/source/linear-algebra/exercises/outcomes/MX/MX1/generator.sage b/source/linear-algebra/exercises/outcomes/MX/MX1/generator.sage
index f2ecca0fc..93417aa86 100644
--- a/source/linear-algebra/exercises/outcomes/MX/MX1/generator.sage
+++ b/source/linear-algebra/exercises/outcomes/MX/MX1/generator.sage
@@ -24,7 +24,7 @@ class Generator(BaseGenerator):
 
         
         ordinal = randrange(product.ncols())
-        ordinal_string = ["1st", "2nd", "3rd", "4th"][ordinal]
+        ordinal_string = ["first", "second", "third", "fourth"][ordinal]
 
         return {
             "A": matrices[0],