M2.ptx

<exercise>
  <statement>
      <p>Let <m>A</m> be a <m>4 \times 4</m> matrix.</p>
      <ol>
          <li>Give a <m>4 \times 4</m> matrix <m><xsl:value-of select="name1"/></m> that may be used to perform the row operation <m><xsl:value-of select="row_op1"/></m>.</li>
          <li>Give a <m>4 \times 4</m> matrix <m><xsl:value-of select="name2"/></m> that may be used to perform the row operation <m><xsl:value-of select="row_op2"/></m>.</li>
          <li>Use matrix multiplication to describe the matrix obtained by applying
              <xsl:choose>
                  <xsl:when test="swapped"><m><xsl:value-of select="row_op2"/></m> and then <m><xsl:value-of select="row_op1"/></m></xsl:when>
                  <xsl:otherwise><m><xsl:value-of select="row_op1"/></m> and then <m><xsl:value-of select="row_op2"/></m></xsl:otherwise>
              </xsl:choose>
              to <m>A</m> (note the order).
          </li>
      </ol>
  </statement>
  <answer>
       <ol>
          <li><m><xsl:value-of select="name1"/>=<xsl:value-of select="mat1"/></m></li>
          <li><m><xsl:value-of select="name2"/>=<xsl:value-of select="mat2"/></m></li>
          <li>
              <xsl:choose>
                  <xsl:when test="swapped"><m><xsl:value-of select="name1"/><xsl:value-of select="name2"/>A</m></xsl:when>
                  <xsl:otherwise><m><xsl:value-of select="name2"/><xsl:value-of select="name1"/>A</m></xsl:otherwise>
              </xsl:choose>
          </li>
      </ol>
  </answer>
</exercise>