Port of PR #420 "fixed typos!"

source/linear-algebra/source/01-LE/02.ptx

@@ -785,7 +785,7 @@ Can <m>\RREF(A)</m> be used to find <m>\RREF(B)</m>?
             <ol marker="A.">
 <li>Yes, <m>\RREF(A)</m> and <m>\RREF(B)</m> are exactly the same.</li>
 <li>Yes, <m>\RREF(A)</m> may be slightly modified to find <m>\RREF(B)</m>.</li>
-<li>No, a new calculuation is required.</li>
+<li>No, a new calculation is required.</li>
             </ol>
         </p>
     </statement>

source/linear-algebra/source/02-EV/03.ptx

@@ -808,7 +808,7 @@ Let <m>W</m> be a subspace of a vector space <m>V</m>.  How are <m>\vspan W</m>
     <subsection>
         <title>Individual Practice</title>
         <remark>
-            Recall that in <xref ref="EV2-Analogy"/> we used the words <em>vector</em>, <em>linear combination</em>, and <em>span</em> to make an anology with recipes, ingredients, and meals.
+            Recall that in <xref ref="EV2-Analogy"/> we used the words <em>vector</em>, <em>linear combination</em>, and <em>span</em> to make an analogy with recipes, ingredients, and meals.
             In this analogy, a <em>recipe</em> was defined to be a list of amounts of each ingredient to build a particular meal.
         </remark>
         <activity>

source/linear-algebra/source/02-EV/04.ptx

@@ -489,7 +489,7 @@ vectors that can form a linearly independent set?
 <subsection>
     <title>Individual Practice</title>
     <remark>
-        Recall that in <xref ref="EV2-Analogy"/> we used the words <em>vector</em>, <em>linear combination</em>, and <em>span</em> to make an anology with recipes, ingredients, and meals.
+        Recall that in <xref ref="EV2-Analogy"/> we used the words <em>vector</em>, <em>linear combination</em>, and <em>span</em> to make an analogy with recipes, ingredients, and meals.
         In this analogy, a <em>recipe</em> was defined to be a list of amounts of each ingredient to build a particular meal.
     </remark>
     <activity>

source/linear-algebra/source/02-EV/05.ptx

@@ -13,7 +13,7 @@
     <subsection>
         <title>Warm Up</title>
         <remark>
-            Recall that in <xref ref="EV2-Analogy"/> we used the words <em>vector</em>, <em>linear combination</em>, and <em>span</em> to make an anology with recipes, ingredients, and meals.
+            Recall that in <xref ref="EV2-Analogy"/> we used the words <em>vector</em>, <em>linear combination</em>, and <em>span</em> to make an analogy with recipes, ingredients, and meals.
             In this analogy, a <em>recipe</em> was defined to be a list of amounts of each ingredient to build a particular meal.
         </remark>
         <activity>

source/linear-algebra/source/02-EV/07.ptx

@@ -49,7 +49,7 @@
             <p>
                 In <xref ref="EV3"/>, we observed that if
                 <me>x_1 \vec{v}_1 + \cdots+x_n \vec{v}_n = \vec{0}</me>
-                is a homogenous vector equation, then:
+                is a homogeneous vector equation, then:
                 <ul>
                     <li>
                         <p>
@@ -70,7 +70,7 @@
             </p>
         </introduction>
             <p>
-                Based on this recollection, which of the following best describes the solution set to the homogenous equation?
+                Based on this recollection, which of the following best describes the solution set to the homogeneous equation?
                 <ol marker="A.">
                     <li>
                         <p>
@@ -290,7 +290,7 @@ solution space?
 To create a computer-animated film, an animator first models a scene
 as a subset of <m>\mathbb R^3</m>. Then to transform this three-dimensional
 visual data for display on a two-dimensional movie screen or television set,
-the computer could apply a linear tranformation that maps visual information
+the computer could apply a linear transformation that maps visual information
 at the point <m>(x,y,z)\in\mathbb R^3</m> onto the pixel located at
 <m>(x+y,y-z)\in\mathbb R^2</m>.
         </p>

source/linear-algebra/source/03-AT/01.ptx

@@ -112,8 +112,8 @@ Given a linear transformation <m>T:V\to W</m>,
 <observation>
         <p>
 One example of a linear transformation <m>\IR^3\to\IR^2</m>
-is the projection of three-dimesional data onto a two-dimensional screen,
-as is necessary for computer animiation in film or video games.
+is the projection of three-dimensional data onto a two-dimensional screen,
+as is necessary for computer animation in film or video games.
         </p>
     <figure xml:id="figure-teapot-projection">
     <caption>A projection of a <m>3D</m> teapot onto a <m>2D</m> screen</caption>
@@ -230,7 +230,7 @@ Is <m>T</m> a linear transformation?
 </task>
 <task>
 <p>
-  Compute the result of scalar multiplcation before a <m>T</m> transformation:
+  Compute the result of scalar multiplication before a <m>T</m> transformation:
 <me>
 T\left(c\left[\begin{array}{c} x \\ y \\ z \end{array}\right] \right)
 =