Add titles to reading questions in Chapter SLE (PR #101)

src2/section-HSE.xml

@@ -320,16 +320,19 @@
     </subsection>
     <reading-questions xml:id="readingquestions-HSE">
         <exercise xml:id="reading-HSE-1">
+            <title>Solution set of a homogeneous system</title>
             <statement>
                 <p>What is <em>always</em> true of the solution set for a homogeneous system of equations?</p>
             </statement>
         </exercise>
         <exercise xml:id="reading-HSE-2">
+            <title>Solution set with more variables than equations</title>
             <statement>
                 <p>Suppose a homogeneous system of equations has 13 variables and 8 equations.  How many solutions will it have?  Why?</p>
             </statement>
         </exercise>
         <exercise xml:id="reading-HSE-3">
+            <title>Null space in words</title>
             <statement>
                 <p>Describe, using only words, the null space of a matrix. (So in particular, do not use any symbols.)</p>
             </statement>

src2/section-NM.xml

@@ -351,16 +351,19 @@
     </subsection>
     <reading-questions xml:id="readingquestions-NM">
         <exercise xml:id="reading-NM-1">
+            <title>Definition of nonsingular</title>
             <statement>
                 <p>In your own words state the definition of a nonsingular matrix.</p>
             </statement>
         </exercise>
         <exercise xml:id="reading-NM-2">
+            <title>How to recognize nonsingular?</title>
             <statement>
                 <p>What is the <em>easiest</em> way to recognize if a square matrix is nonsingular or not?</p>
             </statement>
         </exercise>
         <exercise xml:id="reading-NM-3">
+            <title>Solution set of system with nonsingular coefficient matrix</title>
             <statement>
                 <p>Suppose we have a system of equations and its coefficient matrix is nonsingular.  What can you say about the solution set for this system?</p>
             </statement>

src2/section-RREF.xml

@@ -1159,6 +1159,7 @@
     </subsection>
     <reading-questions xml:id="readingquestions-RREF">
         <exercise xml:id="reading-RREF-1">
+            <title>Matrix in RREF?</title>
             <statement>
                 <p>Is the matrix below in reduced row-echelon form?  Why or why not?<me>\begin{bmatrix}
                 1 &amp; 5 &amp; 0 &amp; 6 &amp; 8\\
@@ -1168,6 +1169,7 @@
             </statement>
         </exercise>
         <exercise xml:id="reading-RREF-2">
+            <title>Calculate RREF of a matrix</title>
             <statement>
                 <p>Use row operations to convert the matrix below to reduced row-echelon form and report the final matrix.<me>\begin{bmatrix}
                 2 &amp; 1 &amp; 8\\
@@ -1177,6 +1179,7 @@
             </statement>
         </exercise>
         <exercise xml:id="reading-RREF-3">
+            <title>Calculate system's solution set, report RREF</title>
             <statement>
                 <p>Find all the solutions to the system below by using an augmented matrix and row operations.  Report your final matrix in reduced row-echelon form and the set of solutions.<md>
                     <mrow>2x_1 + 3x_2 - x_3&amp;= 0</mrow>

src2/section-SSLE.xml

@@ -455,16 +455,19 @@
     <!--   End  ssle.tex -->
     <reading-questions xml:id="readingquestions-SSLE">
         <exercise xml:id="reading-SSLE-1">
+            <title>Number of solutions of a linear system</title>
             <statement>
                 <p>How many solutions does the  system of equations  <m>3x + 2y  = 4</m>, <m>6x + 4y = 8</m>  have?  Explain your answer.</p>
             </statement>
         </exercise>
         <exercise xml:id="reading-SSLE-2">
+            <title>Number of solutions of a different linear system</title>
             <statement>
                 <p>How many solutions does the  system of equations  <m>3x + 2y  = 4</m>, <m>6x + 4y = -2</m>  have?  Explain your answer.</p>
             </statement>
         </exercise>
         <exercise xml:id="reading-SSLE-3">
+            <title>How mathematics is a language</title>
             <statement>
                 <p>What do we mean when we say mathematics is a language?</p>
             </statement>

src2/section-TSS.xml

@@ -442,16 +442,19 @@
     </subsection>
     <reading-questions xml:id="readingquestions-TSS">
         <exercise xml:id="reading-TSS-1">
+            <title>How to analyze consistency?</title>
             <statement>
                 <p>How can we <em>easily</em> recognize when a system of linear equations is inconsistent or not?</p>
             </statement>
         </exercise>
         <exercise xml:id="reading-TSS-2">
+            <title>How to identify independent/dependent variables?</title>
             <statement>
                 <p>Suppose we have converted the augmented matrix of a system of equations into reduced row-echelon form.  How do we then identify the dependent and independent (free) variables?</p>
             </statement>
         </exercise>
         <exercise xml:id="reading-TSS-3">
+            <title>Possibilities for solution sets</title>
             <statement>
                 <p>What are the possible solution sets for a system of linear equations?</p>
             </statement>

src2/section-WILA.xml

@@ -207,16 +207,19 @@
     </subsection>
     <reading-questions xml:id="readingquestions-WILA">
         <exercise xml:id="reading-WILA-1">
+            <title>Whether a given equation is linear</title>
             <statement>
                 <p>Is the equation <m>x^2 + xy +\tan(y^3)=0</m> linear or not?  Why or why not?</p>
             </statement>
         </exercise>
         <exercise xml:id="reading-WILA-2">
+            <title>Solve a linear system, 2 equations, 2 unknowns</title>
             <statement>
                 <p>Find all solutions to the system of two linear equations <m>2x+3y=-8</m>, <m>x-y=6</m>.</p>
             </statement>
         </exercise>
         <exercise xml:id="reading-WILA-3">
+            <title>Usefulness of linear systems</title>
             <statement>
                 <p>Describe how the production manager might explain the importance of the procedures described in the trail mix application (<xref ref="subsection-WILA-AA" acro="WILA.AA"/>).</p>
             </statement>