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      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
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<div><span style="font-family: 'Times New Roman'"><span style="font-size: 20pt"><strong><span style="color: Teal">Matrix </span></strong></span><span style="font-size: 18pt"><span style="color: Red"><strong>delete col/row</strong></span></span></span></div></span>]]></writer>
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            <p>Alternate:PROGRAM 1 : Del single 'col'</p>
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    <region left="585" top="837" width="134" height="26" color="#000000" bgColor="#ffd5ea" fontSize="10">
      <math decimalPlaces="2">
        <input>
          <e type="operand">0</e>
          <e type="function" args="1">time</e>
          <e type="operand">t1</e>
          <e type="operator" args="2">-</e>
        </input>
        <contract>
          <e type="operand" style="unit">s</e>
        </contract>
        <result action="numeric">
          <e type="operand">0</e>
        </result>
      </math>
    </region>
    <region left="585" top="882" width="101" height="26" color="#000000" bgColor="#ffd5ea" fontSize="10">
      <math>
        <input>
          <e type="operand">t1</e>
          <e type="operand">0</e>
          <e type="function" args="1">time</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="18" top="900" width="469" height="132" color="#000000" fontSize="10">
      <math decimalPlaces="2" matrixOptions="0,0,7,6">
        <description active="true" position="Top" lang="eng">
          <content>
            <p>Delete 'col' &amp; 'row</p>
          </content>
        </description>
        <input>
          <e type="operand">M</e>
          <e type="operand">3</e>
          <e type="operand">2</e>
          <e type="function" args="3">Del_Col_Row</e>
        </input>
        <result action="numeric">
          <e type="operand">0.65</e>
          <e type="operand">0.45</e>
          <e type="operand">0.78</e>
          <e type="operand">0.67</e>
          <e type="operand">0.19</e>
          <e type="operand">0.07</e>
          <e type="operand">0.46</e>
          <e type="operand">0.86</e>
          <e type="operand">0.4</e>
          <e type="operand">0.48</e>
          <e type="operand">0.49</e>
          <e type="operand">0.4</e>
          <e type="operand">0.5</e>
          <e type="operand">0.23</e>
          <e type="operand">0.62</e>
          <e type="operand">0.72</e>
          <e type="operand">0.68</e>
          <e type="operand">0.47</e>
          <e type="operand">0.78</e>
          <e type="operand">0.28</e>
          <e type="operand">0.05</e>
          <e type="operand">0.02</e>
          <e type="operand">0.91</e>
          <e type="operand">0.45</e>
          <e type="operand">0.55</e>
          <e type="operand">0.58</e>
          <e type="operand">0.42</e>
          <e type="operand">0.76</e>
          <e type="operand">0.44</e>
          <e type="operand">0.05</e>
          <e type="operand">0.94</e>
          <e type="operand">0.82</e>
          <e type="operand">0.16</e>
          <e type="operand">0.11</e>
          <e type="operand">0.45</e>
          <e type="operand">0.96</e>
          <e type="operand">0.47</e>
          <e type="operand">0.19</e>
          <e type="operand">0.93</e>
          <e type="operand">0.67</e>
          <e type="operand">0.76</e>
          <e type="operand">0.52</e>
          <e type="operand">6</e>
          <e type="operand">7</e>
          <e type="function" args="44">mat</e>
        </result>
      </math>
    </region>
    <region left="585" top="990" width="55" height="26" color="#ff0000" bgColor="#ffff9f" fontSize="12" isBreakable="false">
      <text lang="eng" fontFamily="Arial" fontSize="10">
        <content>
          <p style="font-size: 12px; background-color: #ffff9f; color: #ff0000;">FAST</p>
        </content>
      </text>
    </region>
    <region left="585" top="1026" width="150" height="26" color="#000000" bgColor="#ffd5ea" fontSize="10">
      <math decimalPlaces="1">
        <input>
          <e type="operand">0</e>
          <e type="function" args="1">time</e>
          <e type="operand">t1</e>
          <e type="operator" args="2">-</e>
        </input>
        <contract>
          <e type="operand" style="unit">s</e>
        </contract>
        <result action="numeric">
          <e type="operand">3.9</e>
        </result>
      </math>
    </region>
    <region left="18" top="1080" width="553" height="177" border="true" color="#000000" bgColor="#eaffd5" fontSize="10">
      <math>
        <description active="true" position="Top" lang="eng">
          <content>
            <p>Program 2: To delete multiple &amp; non-adjacent columns</p>
          </content>
        </description>
        <input>
          <e type="operand">M#</e>
          <e type="operand">nm</e>
          <e type="function" args="2">Del_Multi_Col</e>
          <e type="operand">k</e>
          <e type="operand">0</e>
          <e type="operator" args="2">:</e>
          <e type="operand">nr</e>
          <e type="operand">nm</e>
          <e type="function" args="1">rows</e>
          <e type="operator" args="2">:</e>
          <e type="operand">j</e>
          <e type="operand">1</e>
          <e type="operand">nr</e>
          <e type="function" args="2">range</e>
          <e type="operator" args="2">:</e>
          <e type="operand">NN</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">M#</e>
          <e type="operand">nm</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">k</e>
          <e type="operator" args="2">-</e>
          <e type="function" args="2">Del_Col</e>
          <e type="operand">j</e>
          <e type="operand">1</e>
          <e type="operator" args="2">≡</e>
          <e type="operand">k</e>
          <e type="operand">k</e>
          <e type="operand">1</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
          <e type="operand">NN</e>
          <e type="operand">j</e>
          <e type="operand">1</e>
          <e type="operator" args="2">-</e>
          <e type="function" args="2">el</e>
          <e type="operand">nm</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">k</e>
          <e type="operator" args="2">-</e>
          <e type="function" args="2">Del_Col</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" args="4">line</e>
          <e type="function" args="3">cases</e>
          <e type="operator" args="2">:</e>
          <e type="operand">NN</e>
          <e type="operand">NN</e>
          <e type="function" args="1">rows</e>
          <e type="function" args="2">el</e>
          <e type="operand">5</e>
          <e type="operand">1</e>
          <e type="function" args="7">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="243" top="1296" width="227" height="154" color="#000000" fontSize="10">
      <math fractionType="fraction">
        <input>
          <e type="operand">M1</e>
          <e type="operand">0</e>
          <e type="operand">5</e>
          <e type="operand">20</e>
          <e type="operand">45</e>
          <e type="operand">80</e>
          <e type="operand">125</e>
          <e type="operand">5</e>
          <e type="operand">20</e>
          <e type="operand">45</e>
          <e type="operand">80</e>
          <e type="operand">125</e>
          <e type="operand">180</e>
          <e type="operand">20</e>
          <e type="operand">45</e>
          <e type="operand">80</e>
          <e type="operand">125</e>
          <e type="operand">180</e>
          <e type="operand">245</e>
          <e type="operand">45</e>
          <e type="operand">80</e>
          <e type="operand">125</e>
          <e type="operand">180</e>
          <e type="operand">245</e>
          <e type="operand">320</e>
          <e type="operand">80</e>
          <e type="operand">125</e>
          <e type="operand">180</e>
          <e type="operand">245</e>
          <e type="operand">320</e>
          <e type="operand">405</e>
          <e type="operand">33</e>
          <e type="operand">10</e>
          <e type="operand">40</e>
          <e type="operand">90</e>
          <e type="operand">160</e>
          <e type="operand">250</e>
          <e type="operand">10</e>
          <e type="operand">40</e>
          <e type="operand">90</e>
          <e type="operand">160</e>
          <e type="operand">250</e>
          <e type="operand">360</e>
          <e type="operand">40</e>
          <e type="operand">90</e>
          <e type="operand">160</e>
          <e type="operand">250</e>
          <e type="operand">360</e>
          <e type="operand">490</e>
          <e type="operand">8</e>
          <e type="operand">6</e>
          <e type="function" args="50">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="18" top="1341" width="185" height="44" color="#000000" bgColor="#ffff80" fontSize="12">
      <text lang="eng" width="185" fontFamily="Arial" fontSize="10">
        <content>
          <p style="font-size: 12px; background-color: #ffff80;">Define a smaller matrix for easy testing </p>
        </content>
      </text>
    </region>
    <region left="18" top="1467" width="299" height="154" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">M1</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="operand">3</e>
          <e type="operand">3</e>
          <e type="operand">1</e>
          <e type="function" args="5">mat</e>
          <e type="function" args="2">Del_Multi_Col</e>
        </input>
        <result action="numeric">
          <e type="operand">45</e>
          <e type="operand">80</e>
          <e type="operand">125</e>
          <e type="operand">80</e>
          <e type="operand">125</e>
          <e type="operand">180</e>
          <e type="operand">125</e>
          <e type="operand">180</e>
          <e type="operand">245</e>
          <e type="operand">180</e>
          <e type="operand">245</e>
          <e type="operand">320</e>
          <e type="operand">245</e>
          <e type="operand">320</e>
          <e type="operand">405</e>
          <e type="operand">90</e>
          <e type="operand">160</e>
          <e type="operand">250</e>
          <e type="operand">160</e>
          <e type="operand">250</e>
          <e type="operand">360</e>
          <e type="operand">250</e>
          <e type="operand">360</e>
          <e type="operand">490</e>
          <e type="operand">8</e>
          <e type="operand">3</e>
          <e type="function" args="26">mat</e>
        </result>
      </math>
    </region>
    <region left="378" top="1467" width="239" height="154" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">M1</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="operand">3</e>
          <e type="operand">4</e>
          <e type="operand">5</e>
          <e type="operand">5</e>
          <e type="operand">1</e>
          <e type="function" args="7">mat</e>
          <e type="function" args="2">Del_Multi_Col</e>
        </input>
        <result action="numeric">
          <e type="operand">125</e>
          <e type="operand">180</e>
          <e type="operand">245</e>
          <e type="operand">320</e>
          <e type="operand">405</e>
          <e type="operand">250</e>
          <e type="operand">360</e>
          <e type="operand">490</e>
          <e type="operand">8</e>
          <e type="operand">1</e>
          <e type="function" args="10">mat</e>
        </result>
      </math>
    </region>
    <region left="18" top="1638" width="299" height="154" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">M1</e>
          <e type="operand">1</e>
          <e type="operand">3</e>
          <e type="operand">5</e>
          <e type="operand">3</e>
          <e type="operand">1</e>
          <e type="function" args="5">mat</e>
          <e type="function" args="2">Del_Multi_Col</e>
        </input>
        <result action="numeric">
          <e type="operand">5</e>
          <e type="operand">45</e>
          <e type="operand">125</e>
          <e type="operand">20</e>
          <e type="operand">80</e>
          <e type="operand">180</e>
          <e type="operand">45</e>
          <e type="operand">125</e>
          <e type="operand">245</e>
          <e type="operand">80</e>
          <e type="operand">180</e>
          <e type="operand">320</e>
          <e type="operand">125</e>
          <e type="operand">245</e>
          <e type="operand">405</e>
          <e type="operand">10</e>
          <e type="operand">90</e>
          <e type="operand">250</e>
          <e type="operand">40</e>
          <e type="operand">160</e>
          <e type="operand">360</e>
          <e type="operand">90</e>
          <e type="operand">250</e>
          <e type="operand">490</e>
          <e type="operand">8</e>
          <e type="operand">3</e>
          <e type="function" args="26">mat</e>
        </result>
      </math>
    </region>
    <region left="378" top="1638" width="329" height="154" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">M1</e>
          <e type="operand">1</e>
          <e type="operand">6</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" args="4">mat</e>
          <e type="function" args="2">Del_Multi_Col</e>
        </input>
        <result action="numeric">
          <e type="operand">5</e>
          <e type="operand">20</e>
          <e type="operand">45</e>
          <e type="operand">80</e>
          <e type="operand">20</e>
          <e type="operand">45</e>
          <e type="operand">80</e>
          <e type="operand">125</e>
          <e type="operand">45</e>
          <e type="operand">80</e>
          <e type="operand">125</e>
          <e type="operand">180</e>
          <e type="operand">80</e>
          <e type="operand">125</e>
          <e type="operand">180</e>
          <e type="operand">245</e>
          <e type="operand">125</e>
          <e type="operand">180</e>
          <e type="operand">245</e>
          <e type="operand">320</e>
          <e type="operand">10</e>
          <e type="operand">40</e>
          <e type="operand">90</e>
          <e type="operand">160</e>
          <e type="operand">40</e>
          <e type="operand">90</e>
          <e type="operand">160</e>
          <e type="operand">250</e>
          <e type="operand">90</e>
          <e type="operand">160</e>
          <e type="operand">250</e>
          <e type="operand">360</e>
          <e type="operand">8</e>
          <e type="operand">4</e>
          <e type="function" args="34">mat</e>
        </result>
      </math>
    </region>
    <region left="18" top="1827" width="275" height="26" color="#000000" bgColor="#ffff80" fontSize="12" isBreakable="false">
      <text lang="eng" fontFamily="Arial" fontSize="10">
        <content>
          <p style="font-size: 12px; background-color: #ffff80;">Apply Program 2: To the large matrix</p>
        </content>
      </text>
    </region>
    <region left="612" top="1845" width="101" height="26" color="#000000" bgColor="#ffff80" fontSize="10">
      <math>
        <input>
          <e type="operand">t1</e>
          <e type="operand">0</e>
          <e type="function" args="1">time</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="18" top="1881" width="517" height="222" color="#000000" fontSize="10">
      <math decimalPlaces="2" matrixOptions="0,0,7,11">
        <input>
          <e type="operand">M2</e>
          <e type="operand">M</e>
          <e type="operand">1</e>
          <e type="operand">3</e>
          <e type="operand">5</e>
          <e type="operand">3</e>
          <e type="operand">1</e>
          <e type="function" args="5">mat</e>
          <e type="function" args="2">Del_Multi_Col</e>
          <e type="operator" args="2">:</e>
        </input>
        <result action="numeric">
          <e type="operand">0.45</e>
          <e type="operand">0.78</e>
          <e type="operand">0.19</e>
          <e type="operand">0.07</e>
          <e type="operand">0.46</e>
          <e type="operand">0.77</e>
          <e type="operand">0.16</e>
          <e type="operand">0.29</e>
          <e type="operand">0.37</e>
          <e type="operand">0.42</e>
          <e type="operand">0.84</e>
          <e type="operand">0.25</e>
          <e type="operand">0.67</e>
          <e type="operand">0.53</e>
          <e type="operand">0.4</e>
          <e type="operand">0.48</e>
          <e type="operand">0.4</e>
          <e type="operand">0.5</e>
          <e type="operand">0.23</e>
          <e type="operand">0.69</e>
          <e type="operand">0.42</e>
          <e type="operand">0.72</e>
          <e type="operand">0.68</e>
          <e type="operand">0.78</e>
          <e type="operand">0.28</e>
          <e type="operand">0.05</e>
          <e type="operand">0.99</e>
          <e type="operand">0.59</e>
          <e type="operand">0.91</e>
          <e type="operand">0.45</e>
          <e type="operand">0.58</e>
          <e type="operand">0.42</e>
          <e type="operand">0.76</e>
          <e type="operand">0.36</e>
          <e type="operand">0.6</e>
          <e type="operand">0.05</e>
          <e type="operand">0.94</e>
          <e type="operand">0.16</e>
          <e type="operand">0.11</e>
          <e type="operand">0.45</e>
          <e type="operand">0.02</e>
          <e type="operand">0.57</e>
          <e type="operand">0.47</e>
          <e type="operand">0.19</e>
          <e type="operand">0.67</e>
          <e type="operand">0.76</e>
          <e type="operand">0.52</e>
          <e type="operand">0.32</e>
          <e type="operand">0.99</e>
          <e type="operand">0.82</e>
          <e type="operand">0.14</e>
          <e type="operand">0.5</e>
          <e type="operand">0.99</e>
          <e type="operand">0.75</e>
          <e type="operand">0.23</e>
          <e type="operand">0.14</e>
          <e type="operand">0.29</e>
          <e type="operand">0.44</e>
          <e type="operand">0.87</e>
          <e type="operand">0.23</e>
          <e type="operand">0.77</e>
          <e type="operand">0.59</e>
          <e type="operand">0.32</e>
          <e type="operand">0.15</e>
          <e type="operand">0.03</e>
          <e type="operand">0.32</e>
          <e type="operand">0.94</e>
          <e type="operand">0.84</e>
          <e type="operand">0.98</e>
          <e type="operand">0</e>
          <e type="operand">0.01</e>
          <e type="operand">0.43</e>
          <e type="operand">0.61</e>
          <e type="operand">0.39</e>
          <e type="operand">0.14</e>
          <e type="operand">0.67</e>
          <e type="operand">0.49</e>
          <e type="operand">11</e>
          <e type="operand">7</e>
          <e type="function" args="79">mat</e>
        </result>
      </math>
    </region>
    <region left="612" top="1890" width="115" height="26" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">M2</e>
          <e type="function" args="1">rows</e>
        </input>
        <result action="numeric">
          <e type="operand">300</e>
        </result>
      </math>
    </region>
    <region left="612" top="1917" width="107" height="26" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">M2</e>
          <e type="function" args="1">cols</e>
        </input>
        <result action="numeric">
          <e type="operand">97</e>
        </result>
      </math>
    </region>
    <region left="612" top="1944" width="147" height="26" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">M2</e>
          <e type="function" args="1">length</e>
        </input>
        <result action="numeric">
          <e type="operand">29100</e>
        </result>
      </math>
    </region>
    <region left="612" top="2034" width="92" height="26" color="#ff0000" bgColor="#ffff9f" fontSize="12" isBreakable="false">
      <text lang="eng" fontFamily="Arial" fontSize="10">
        <content>
          <p style="font-size: 12px; background-color: #ffff9f; color: #ff0000;">Very FAST</p>
        </content>
      </text>
    </region>
    <region left="612" top="2070" width="151" height="26" color="#000000" bgColor="#ffff80" fontSize="10">
      <math decimalPlaces="1">
        <input>
          <e type="operand">0</e>
          <e type="function" args="1">time</e>
          <e type="operand">t1</e>
          <e type="operator" args="2">-</e>
        </input>
        <result action="numeric">
          <e type="operand">1.4</e>
          <e type="operand" style="unit">s</e>
          <e type="operator" args="2">*</e>
        </result>
      </math>
    </region>
  </regions>
</worksheet>