﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.98.5914.28134"?>
<regions>
  <settings>
    <identity>
      <id>12277ddb-c386-4d8d-bf76-4bd7d3911c0e</id>
      <revision>2</revision>
    </identity>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="1" orientation="Portrait" width="850" height="1100" />
      <margins left="39" right="39" top="39" bottom="39" />
      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
      <backgrounds />
    </pageModel>
    <dependencies>
      <assembly name="SMath Studio Desktop" version="0.98.5914.28134" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Text Region" version="1.10.5914.28138" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <assembly name="Math Region" version="0.98.5914.28134" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Writer Region" version="0.4.5911.26136" guid="5922d677-323f-4327-8c68-be902d8339ad" />
      <assembly name="Special Functions" version="1.11.5914.28137" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="MaximaPlugin" version="1.97.5327.41309" guid="44011c1e-5d0d-4533-8e68-e32b5badce41" />
    </dependencies>
  </settings>
  <region id="0" left="36" top="36" width="232" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>System of linear equations:</p>
    </text>
  </region>
  <region id="1" left="45" top="72" width="301" height="170" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="operand">0</e>
        <e type="operand">0.3251</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0.3251</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0.3251</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0.3251</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">0.9457</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">0.9457</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0.9457</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0.9457</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">9</e>
        <e type="operand">8</e>
        <e type="function" preserve="true" args="74">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="2" left="369" top="72" width="78" height="152" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X</e>
        <e type="operand">el_1</e>
        <e type="operand">el_2</e>
        <e type="operand">el_3</e>
        <e type="operand">el_4</e>
        <e type="operand">el_5</e>
        <e type="operand">el_6</e>
        <e type="operand">el_7</e>
        <e type="operand">el_8</e>
        <e type="operand">8</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="10">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="3" left="477" top="72" width="79" height="170" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">B</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">500</e>
        <e type="operator" args="1">-</e>
        <e type="operand">9</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="11">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="4" left="36" top="252" width="633" height="26" color="#000000" bgColor="#ffffff">
    <writer lang="eng"><![CDATA[<span style="font-family: 'Microsoft Sans Serif'; font-size: 10pt; font-weight: normal; font-style: normal; color: Black; background-color: Transparent; text-align: left; line-height: 115%">
<div>Matrix A is not invertible since it is square, however equations can be solved using MAXIMA:</div></span>]]></writer>
  </region>
  <region id="5" left="36" top="288" width="75" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math fractionType="auto">
      <input>
        <e type="operand">eqs</e>
        <e type="operand">A</e>
        <e type="operand">X</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="6" left="36" top="324" width="171" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operand">eqs</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">eqs</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">eqs</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">B</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">for</e>
      </input>
    </math>
  </region>
  <region id="7" left="36" top="387" width="273" height="306" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">eqs</e>
      </input>
      <result action="symbolic">
        <e type="operand">3251</e>
        <e type="operand">el_2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">10000</e>
        <e type="operand">el_7</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">10000</e>
        <e type="operator" args="2">/</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">3251</e>
        <e type="operand">el_5</e>
        <e type="operator" args="2">*</e>
        <e type="operand">10000</e>
        <e type="operand">el_7</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">10000</e>
        <e type="operator" args="2">/</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">3251</e>
        <e type="operand">el_2</e>
        <e type="operator" args="2">*</e>
        <e type="operand">10000</e>
        <e type="operand">el_8</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">10000</e>
        <e type="operator" args="2">/</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">3251</e>
        <e type="operand">el_5</e>
        <e type="operator" args="2">*</e>
        <e type="operand">10000</e>
        <e type="operand">el_8</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">10000</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">10000</e>
        <e type="operand">el_1</e>
        <e type="operator" args="2">*</e>
        <e type="operand">9457</e>
        <e type="operand">el_2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">10000</e>
        <e type="operator" args="2">/</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">10000</e>
        <e type="operand">el_4</e>
        <e type="operator" args="2">*</e>
        <e type="operand">9457</e>
        <e type="operand">el_5</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">10000</e>
        <e type="operator" args="2">/</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">9457</e>
        <e type="operand">el_2</e>
        <e type="operator" args="2">*</e>
        <e type="operand">10000</e>
        <e type="operand">el_3</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">10000</e>
        <e type="operator" args="2">/</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">9457</e>
        <e type="operand">el_5</e>
        <e type="operator" args="2">*</e>
        <e type="operand">10000</e>
        <e type="operand">el_6</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">10000</e>
        <e type="operator" args="2">/</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">el_1</e>
        <e type="operand">500</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">9</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="11">mat</e>
      </result>
    </math>
  </region>
  <region id="8" left="36" top="711" width="515" height="240" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">eqs</e>
        <e type="operand">X</e>
        <e type="function" preserve="true" args="2">Solve</e>
      </input>
      <result action="symbolic">
        <e type="operand" style="string">solve: dependent equations eliminated: (4)</e>
        <e type="operand">el_1</e>
        <e type="operand">500</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">el_2</e>
        <e type="operand">5000000</e>
        <e type="operand">9457</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">el_3</e>
        <e type="operand">500</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">el_4</e>
        <e type="operand">500</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">el_5</e>
        <e type="operand">5000000</e>
        <e type="operand">9457</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">el_6</e>
        <e type="operand">500</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">el_7</e>
        <e type="operand">1625500</e>
        <e type="operand">9457</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">el_8</e>
        <e type="operand">1625500</e>
        <e type="operand">9457</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">8</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="10">sys</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </result>
    </math>
  </region>
  <region id="9" left="585" top="711" width="174" height="98" color="#000000" bgColor="#80ffff">
    <writer lang="eng" wrap="Custom" width="160"><![CDATA[<span style="font-family: 'Microsoft Sans Serif'; font-size: 10pt; font-weight: normal; font-style: normal; color: Black; background-color: Transparent; text-align: left; line-height: 115%">
<div>HOW DO WE CREATE AN INVERTIBLE MATRIX A FROM EXISTING ONE AUTOMATICALLY???</div></span>]]></writer>
  </region>
</regions>