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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
+<html>
+        <head><title>class Matrix22 in sims.math</title>
+        <meta http-equiv="content-type" content="text/html; charset=UTF8"></meta><meta content="scaladoc (version 2.7.5.final)" name="generator"></meta><link href="../../style.css" type="text/css" rel="stylesheet"></link><script type="text/javascript" src="../../script.js"></script>
+        </head>
+        <body onload="init()">
+        <table summary="" class="navigation">
+        <tr>
+          <td class="navigation-links" valign="top">
+            <!-- <table><tr></tr></table> -->
+          </td>
+          <td align="right" valign="top" style="white-space:nowrap;" rowspan="2">
+            <div class="doctitle-larger">SiMS</div>
+          </td>
+        </tr>
+        <tr><td></td></tr>
+      </table>
+        
+      <div class="entity">
+        <a href="../../sims/math$package.html" target="_self">sims.math</a>
+        <br></br>
+        <span class="entity">class  Matrix22</span>
+      </div><hr></hr>
+      <div class="source">
+        [source: <a href="" class="sims/math/Matrix22"><code>sims/math/Matrix22.scala</code></a>]
+      </div><hr></hr>
+      <a name="Matrix22"></a><dl>
+      <dt>
+        
+        <code>case</code>
+        <code>class</code>
+        <em>Matrix22</em>(<code>val </code><em>c11</em> : <a href="http://www.scala-lang.org/docu/files/api/scala/Double.html" target="_self">Double</a>, <code>val </code><em>c12</em> : <a href="http://www.scala-lang.org/docu/files/api/scala/Double.html" target="_self">Double</a>, <code>val </code><em>c21</em> : <a href="http://www.scala-lang.org/docu/files/api/scala/Double.html" target="_self">Double</a>, <code>val </code><em>c22</em> : <a href="http://www.scala-lang.org/docu/files/api/scala/Double.html" target="_self">Double</a>)
+      </dt>
+      <dd><code> extends </code><a href="" target="contentFrame" class="scala/Product">scala.Product</a></dd>
+    </dl>
+      <dl><dd>Eine 2x2, quadratische Matrix.</dd></dl>
+      <dl><dt style="margin:10px 0 0 20px;">
+        <b>Parameters</b></dt><dd><code>c11 - </code>Komponente 1,1</dd><dd><code>c12 - </code>Komponente 1,2</dd><dd><code>c21 - </code>Komponente 2,1</dd><dd><code>c22 - </code>Komponente 2,2</dd></dl>
+    
+      <table summary="" cellpadding="3" class="member">
+      <tr><td class="title" colspan="2">Additional Constructor Summary</td></tr>
+      <tr>
+      <td class="modifiers" valign="top"> 
+        <code> def</code>
+      </td>
+      <td class="signature">
+        <em><a href="../../sims/math/Matrix22.html#this%28sims.geometry.Vector2D%2Csims.geometry.Vector2D%29" target="_self">this</a></em>
+        (<em>c1</em> : <a href="../../sims/geometry/Vector2D.html" target="_self">Vector2D</a>, <em>c2</em> : <a href="../../sims/geometry/Vector2D.html" target="_self">Vector2D</a>) : <a href="../../sims/math/Matrix22.html" target="_self">Matrix22</a>
+        
+        <div>Eine 2x2-dimensionale, quadratische Matrix kann auch mit zwei 2-dimensionalen
+   Vektoren erstellt werden. In diesem Fall repraesentiert jeder Vektor eine Spalte.</div>
+      </td>
+    </tr>
+      </table>
+
+
+<table summary="" cellpadding="3" class="member">
+      <tr><td class="title" colspan="2">Method Summary</td></tr>
+      <tr>
+      <td class="modifiers" valign="top"> 
+        <code> def</code>
+      </td>
+      <td class="signature">
+        <em><a href="../../sims/math/Matrix22.html#*%28sims.geometry.Vector2D%29" target="_self">*</a></em>
+        (<em>v</em> : <a href="../../sims/geometry/Vector2D.html" target="_self">Vector2D</a>) : <a href="../../sims/geometry/Vector2D.html" target="_self">Vector2D</a>
+        
+        <div>Multiplikation mit einer 2x1-Matrix (2-dimensionaler Vektor).</div>
+      </td>
+    </tr>
+<tr>
+      <td class="modifiers" valign="top"> 
+        <code> def</code>
+      </td>
+      <td class="signature">
+        <em><a href="../../sims/math/Matrix22.html#*%28Double%29" target="_self">*</a></em>
+        (<em>n</em> : <a href="http://www.scala-lang.org/docu/files/api/scala/Double.html" target="_self">Double</a>) : <a href="../../sims/math/Matrix22.html" target="_self">Matrix22</a>
+        
+        <div>Multiplikation mit einem Skalar.</div>
+      </td>
+    </tr>
+<tr>
+      <td class="modifiers" valign="top"> 
+        <code> def</code>
+      </td>
+      <td class="signature">
+        <em><a href="../../sims/math/Matrix22.html#*%28sims.math.Matrix22%29" target="_self">*</a></em>
+        (<em>m</em> : <a href="../../sims/math/Matrix22.html" target="_self">Matrix22</a>) : <a href="../../sims/math/Matrix22.html" target="_self">Matrix22</a>
+        
+        <div>Multiplikation mit einer anderen 2x2-Matrix.</div>
+      </td>
+    </tr>
+<tr>
+      <td class="modifiers" valign="top"> 
+        <code> def</code>
+      </td>
+      <td class="signature">
+        <em><a href="../../sims/math/Matrix22.html#%2B%28sims.math.Matrix22%29" target="_self">+</a></em>
+        (<em>m</em> : <a href="../../sims/math/Matrix22.html" target="_self">Matrix22</a>) : <a href="../../sims/math/Matrix22.html" target="_self">Matrix22</a>
+        
+        <div>Addition.</div>
+      </td>
+    </tr>
+<tr>
+      <td class="modifiers" valign="top"> 
+        <code> def</code>
+      </td>
+      <td class="signature">
+        <em><a href="../../sims/math/Matrix22.html#det" target="_self">det</a></em>
+         : <a href="http://www.scala-lang.org/docu/files/api/scala/Double.html" target="_self">Double</a>
+        
+        <div>Ergibt die Determinante dieser Matrix.</div>
+      </td>
+    </tr>
+<tr>
+      <td class="modifiers" valign="top"> 
+        <code>override def</code>
+      </td>
+      <td class="signature">
+        <em><a href="../../sims/math/Matrix22.html#equals%28Any%29" target="_self">equals</a></em>
+        (<em>arg0</em> : <a href="http://www.scala-lang.org/docu/files/api/scala/Any.html" target="_self">Any</a>) : <a href="http://www.scala-lang.org/docu/files/api/scala/Boolean.html" target="_self">Boolean</a>
+        
+        <div>This method is used to compare the receiver object (<code>this</code>)
+    with the argument object (<code>arg0</code>) for equivalence.</div>
+      </td>
+    </tr>
+<tr>
+      <td class="modifiers" valign="top"> 
+        <code>override def</code>
+      </td>
+      <td class="signature">
+        <em><a href="../../sims/math/Matrix22.html#hashCode%28%29" target="_self">hashCode</a></em>
+         : <a href="http://www.scala-lang.org/docu/files/api/scala/Int.html" target="_self">Int</a>
+        
+        <div>Returns a hash code value for the object.</div>
+      </td>
+    </tr>
+<tr>
+      <td class="modifiers" valign="top"> 
+        <code> def</code>
+      </td>
+      <td class="signature">
+        <em><a href="../../sims/math/Matrix22.html#invert" target="_self">invert</a></em>
+         : <a href="../../sims/math/Matrix22.html" target="_self">Matrix22</a>
+        
+        <div>Inverse.</div>
+      </td>
+    </tr>
+<tr>
+      <td class="modifiers" valign="top"> 
+        <code>override def</code>
+      </td>
+      <td class="signature">
+        <em><a href="../../sims/math/Matrix22.html#productArity" target="_self">productArity</a></em>
+         : <a href="http://www.scala-lang.org/docu/files/api/scala/Int.html" target="_self">Int</a>
+        
+        
+      </td>
+    </tr>
+<tr>
+      <td class="modifiers" valign="top"> 
+        <code>override def</code>
+      </td>
+      <td class="signature">
+        <em><a href="../../sims/math/Matrix22.html#productElement%28Int%29" target="_self">productElement</a></em>
+        (<em>arg0</em> : <a href="http://www.scala-lang.org/docu/files/api/scala/Int.html" target="_self">Int</a>) : <a href="http://www.scala-lang.org/docu/files/api/scala/Any.html" target="_self">Any</a>
+        
+        
+      </td>
+    </tr>
+<tr>
+      <td class="modifiers" valign="top"> 
+        <code>override def</code>
+      </td>
+      <td class="signature">
+        <em><a href="../../sims/math/Matrix22.html#productPrefix" target="_self">productPrefix</a></em>
+         : <a href="" target="contentFrame" class="java/lang/String">java.lang.String</a>
+        
+        
+      </td>
+    </tr>
+<tr>
+      <td class="modifiers" valign="top"> 
+        <code>override def</code>
+      </td>
+      <td class="signature">
+        <em><a href="../../sims/math/Matrix22.html#toString%28%29" target="_self">toString</a></em>
+         : <a href="" target="contentFrame" class="java/lang/String">java.lang.String</a>
+        
+        <div>Returns a string representation of the object.</div>
+      </td>
+    </tr>
+      </table><table summary="" cellpadding="3" class="inherited">
+        <tr><td class="title" colspan="2">
+          Methods inherited from <a href="http://www.scala-lang.org/docu/files/api/scala/AnyRef.html" target="_self">AnyRef</a>
+        </td></tr>
+        <tr><td class="signature" colspan="2">
+          <a href="http://www.scala-lang.org/docu/files/api/scala/AnyRef.html#getClass%28%29" target="_self">getClass</a>, <a href="http://www.scala-lang.org/docu/files/api/scala/AnyRef.html#clone%28%29" target="_self">clone</a>, <a href="http://www.scala-lang.org/docu/files/api/scala/AnyRef.html#notify%28%29" target="_self">notify</a>, <a href="http://www.scala-lang.org/docu/files/api/scala/AnyRef.html#notifyAll%28%29" target="_self">notifyAll</a>, <a href="http://www.scala-lang.org/docu/files/api/scala/AnyRef.html#wait%28Long%29" target="_self">wait</a>, <a href="http://www.scala-lang.org/docu/files/api/scala/AnyRef.html#wait%28Long%2CInt%29" target="_self">wait</a>, <a href="http://www.scala-lang.org/docu/files/api/scala/AnyRef.html#wait%28%29" target="_self">wait</a>, <a href="http://www.scala-lang.org/docu/files/api/scala/AnyRef.html#finalize%28%29" target="_self">finalize</a>, <a href="http://www.scala-lang.org/docu/files/api/scala/AnyRef.html#%3D%3D%28AnyRef%29" target="_self">==</a>, <a href="http://www.scala-lang.org/docu/files/api/scala/AnyRef.html#%21%3D%28AnyRef%29" target="_self">!=</a>, <a href="http://www.scala-lang.org/docu/files/api/scala/AnyRef.html#eq%28AnyRef%29" target="_self">eq</a>, <a href="http://www.scala-lang.org/docu/files/api/scala/AnyRef.html#ne%28AnyRef%29" target="_self">ne</a>, <a href="http://www.scala-lang.org/docu/files/api/scala/AnyRef.html#synchronized%28T0%29" target="_self">synchronized</a>
+        </td></tr>
+      </table><table summary="" cellpadding="3" class="inherited">
+        <tr><td class="title" colspan="2">
+          Methods inherited from <a href="http://www.scala-lang.org/docu/files/api/scala/Any.html" target="_self">Any</a>
+        </td></tr>
+        <tr><td class="signature" colspan="2">
+          <a href="http://www.scala-lang.org/docu/files/api/scala/Any.html#%3D%3D%28Any%29" target="_self">==</a>, <a href="http://www.scala-lang.org/docu/files/api/scala/Any.html#%21%3D%28Any%29" target="_self">!=</a>, <a href="http://www.scala-lang.org/docu/files/api/scala/Any.html#isInstanceOf" target="_self">isInstanceOf</a>, <a href="http://www.scala-lang.org/docu/files/api/scala/Any.html#asInstanceOf" target="_self">asInstanceOf</a>
+        </td></tr>
+      </table>
+
+
+      <table summary="" cellpadding="3" class="member-detail">
+          <tr><td class="title">Additional Constructor Details</td></tr>
+        </table><div><a name="this%28sims.geometry.Vector2D%2Csims.geometry.Vector2D%29"></a><dl>
+      <dt>
+        
+        <code></code>
+        <code>def</code>
+        <em>this</em>(<em>c1</em> : <a href="../../sims/geometry/Vector2D.html" target="_self">Vector2D</a>, <em>c2</em> : <a href="../../sims/geometry/Vector2D.html" target="_self">Vector2D</a>) : <a href="../../sims/math/Matrix22.html" target="_self">Matrix22</a>
+      </dt>
+      <dd></dd>
+    </dl>
+      <dl><dd>Eine 2x2-dimensionale, quadratische Matrix kann auch mit zwei 2-dimensionalen
+   Vektoren erstellt werden. In diesem Fall repraesentiert jeder Vektor eine Spalte.</dd></dl>
+      <dl><dt style="margin:10px 0 0 20px;">
+        <b>Parameters</b></dt><dd><code>c1 - </code>erste Spalte</dd><dd><code>c2 - </code>zweite Spalte</dd></dl>
+    <hr></hr></div>
+
+
+<table summary="" cellpadding="3" class="member-detail">
+          <tr><td class="title">Method Details</td></tr>
+        </table><div><a name="det"></a><dl>
+      <dt>
+        
+        <code></code>
+        <code>def</code>
+        <em>det</em> : <a href="http://www.scala-lang.org/docu/files/api/scala/Double.html" target="_self">Double</a>
+      </dt>
+      <dd></dd>
+    </dl>
+      <dl><dd>Ergibt die Determinante dieser Matrix.</dd></dl>
+      <dl><dt style="margin:10px 0 0 20px;">
+        <b>Returns</b></dt><dd>Determinante dieser Matrix</dd></dl>
+    <hr></hr>
+<a name="%2B%28sims.math.Matrix22%29"></a><dl>
+      <dt>
+        
+        <code></code>
+        <code>def</code>
+        <em>+</em>(<em>m</em> : <a href="../../sims/math/Matrix22.html" target="_self">Matrix22</a>) : <a href="../../sims/math/Matrix22.html" target="_self">Matrix22</a>
+      </dt>
+      <dd></dd>
+    </dl>
+      <dl><dd>Addition.</dd></dl>
+      <dl></dl>
+    <hr></hr>
+<a name="*%28Double%29"></a><dl>
+      <dt>
+        
+        <code></code>
+        <code>def</code>
+        <em>*</em>(<em>n</em> : <a href="http://www.scala-lang.org/docu/files/api/scala/Double.html" target="_self">Double</a>) : <a href="../../sims/math/Matrix22.html" target="_self">Matrix22</a>
+      </dt>
+      <dd></dd>
+    </dl>
+      <dl><dd>Multiplikation mit einem Skalar.</dd></dl>
+      <dl></dl>
+    <hr></hr>
+<a name="*%28sims.math.Matrix22%29"></a><dl>
+      <dt>
+        
+        <code></code>
+        <code>def</code>
+        <em>*</em>(<em>m</em> : <a href="../../sims/math/Matrix22.html" target="_self">Matrix22</a>) : <a href="../../sims/math/Matrix22.html" target="_self">Matrix22</a>
+      </dt>
+      <dd></dd>
+    </dl>
+      <dl><dd>Multiplikation mit einer anderen 2x2-Matrix.</dd></dl>
+      <dl></dl>
+    <hr></hr>
+<a name="*%28sims.geometry.Vector2D%29"></a><dl>
+      <dt>
+        
+        <code></code>
+        <code>def</code>
+        <em>*</em>(<em>v</em> : <a href="../../sims/geometry/Vector2D.html" target="_self">Vector2D</a>) : <a href="../../sims/geometry/Vector2D.html" target="_self">Vector2D</a>
+      </dt>
+      <dd></dd>
+    </dl>
+      <dl><dd>Multiplikation mit einer 2x1-Matrix (2-dimensionaler Vektor).</dd></dl>
+      <dl></dl>
+    <hr></hr>
+<a name="invert"></a><dl>
+      <dt>
+        
+        <code></code>
+        <code>def</code>
+        <em>invert</em> : <a href="../../sims/math/Matrix22.html" target="_self">Matrix22</a>
+      </dt>
+      <dd></dd>
+    </dl>
+      <dl><dd>Inverse.</dd></dl>
+      <dl></dl>
+    <hr></hr>
+<a name="hashCode%28%29"></a><dl>
+      <dt>
+        
+        <code>override</code>
+        <code>def</code>
+        <em>hashCode</em> : <a href="http://www.scala-lang.org/docu/files/api/scala/Int.html" target="_self">Int</a>
+      </dt>
+      <dd></dd>
+    </dl>
+      <dl><dd>Returns a hash code value for the object.  
+    <p>
+    The default hashing algorithm is platform dependent.  
+    Note that it is allowed for two objects to have identical hash
+    codes (<code>o1.hashCode.equals(o2.hashCode)</code>) yet not be
+    equal (<code>o1.equals(o2)</code> returns <code>false</code>).  A
+    degenerate implementation could always return <code>0</code>.
+    However, it is required that if two objects are equal
+    (<code>o1.equals(o2)</code> returns <code>true</code>) that they
+    have identical hash codes
+    (<code>o1.hashCode.equals(o2.hashCode)</code>).  Therefore, when
+    overriding this method, be sure to verify that the behavior is
+    consistent with the <code>equals</code> method.
+    </p>
+    <p></dd></dl>
+      <dl><dt style="margin:10px 0 0 20px;">
+        <b>Returns</b></dt><dd>the hash code value for the object.      </p></dd></dl>
+    <hr></hr>
+<a name="toString%28%29"></a><dl>
+      <dt>
+        
+        <code>override</code>
+        <code>def</code>
+        <em>toString</em> : <a href="" target="contentFrame" class="java/lang/String">java.lang.String</a>
+      </dt>
+      <dd></dd>
+    </dl>
+      <dl><dd>Returns a string representation of the object.  
+    <p>
+    The default representation is platform dependent.</dd></dl>
+      <dl><dt style="margin:10px 0 0 20px;">
+        <b>Returns</b></dt><dd>a string representation of the object.     </p></dd></dl>
+    <hr></hr>
+<a name="equals%28Any%29"></a><dl>
+      <dt>
+        
+        <code>override</code>
+        <code>def</code>
+        <em>equals</em>(<em>arg0</em> : <a href="http://www.scala-lang.org/docu/files/api/scala/Any.html" target="_self">Any</a>) : <a href="http://www.scala-lang.org/docu/files/api/scala/Boolean.html" target="_self">Boolean</a>
+      </dt>
+      <dd></dd>
+    </dl>
+      <dl><dd>This method is used to compare the receiver object (<code>this</code>)
+    with the argument object (<code>arg0</code>) for equivalence.  
+    
+    <p>
+    The default implementations of this method is an <a
+    href="http://en.wikipedia.org/wiki/Equivalence_relation">equivalence
+    relation</a>:
+      <ul>
+      <li>It is reflexive: for any instance <code>x</code> of type <code>Any</code>, 
+      <code>x.equals(x)</code> should return <code>true</code>.</li>
+      <li>It is symmetric: for any instances <code>x</code> and <code>y</code> of type 
+      <code>Any</code>, <code>x.equals(y)</code> should return <code>true</code> if and only 
+      if <code>y.equals(x)</code> returns <code>true</code>.</li>
+      <li>It is transitive: for any instances 
+      <code>x</code>, <code>y</code>, and <code>z</code> of type <code>AnyRef</code>
+      if <code>x.equals(y)</code> returns <code>true</code> and 
+      <code>y.equals(z)</code> returns 
+      <code>true</code>, then <code>x.equals(z)</code> should return <code>true</code>.</li>
+    </ul>
+    </p>
+    <p>
+    If you override this method, you should verify that
+    your implementation remains an equivalence relation.
+    Additionally, when overriding this method it is often necessary to
+    override <code>hashCode</code> to ensure that objects that are
+    "equal" (<code>o1.equals(o2)</code> returns <code>true</code>)
+    hash to the same <a href="Int.html"><code>Int</code></a>
+    (<code>o1.hashCode.equals(o2.hashCode)</code>).</dd></dl>
+      <dl><dt style="margin:10px 0 0 20px;">
+        <b>Parameters</b></dt><dd><code>arg0 - </code>the object to compare against this object for equality.</dd><dt style="margin:10px 0 0 20px;">
+        <b>Returns</b></dt><dd><code>true</code> if the receiver object is equivalent to the argument; <code>false</code> otherwise.    </p></dd></dl>
+    <hr></hr>
+<a name="productPrefix"></a><dl>
+      <dt>
+        
+        <code>override</code>
+        <code>def</code>
+        <em>productPrefix</em> : <a href="" target="contentFrame" class="java/lang/String">java.lang.String</a>
+      </dt>
+      <dd></dd>
+    </dl><dl>
+        <dt style="margin:10px 0 0 20px;">
+          <b>Overrides</b>
+        </dt>
+        <dd>
+        <a href="" target="contentFrame" class="scala/Product">scala.Product</a>.<a href="#productPrefix" target="contentFrame" class="scala/Product">scala.Product.productPrefix</a>
+        </dd>
+      </dl><hr></hr>
+<a name="productArity"></a><dl>
+      <dt>
+        
+        <code>override</code>
+        <code>def</code>
+        <em>productArity</em> : <a href="http://www.scala-lang.org/docu/files/api/scala/Int.html" target="_self">Int</a>
+      </dt>
+      <dd></dd>
+    </dl><dl>
+        <dt style="margin:10px 0 0 20px;">
+          <b>Overrides</b>
+        </dt>
+        <dd>
+        <a href="" target="contentFrame" class="scala/Product">scala.Product</a>.<a href="#productArity" target="contentFrame" class="scala/Product">scala.Product.productArity</a>
+        </dd>
+      </dl><hr></hr>
+<a name="productElement%28Int%29"></a><dl>
+      <dt>
+        
+        <code>override</code>
+        <code>def</code>
+        <em>productElement</em>(<em>arg0</em> : <a href="http://www.scala-lang.org/docu/files/api/scala/Int.html" target="_self">Int</a>) : <a href="http://www.scala-lang.org/docu/files/api/scala/Any.html" target="_self">Any</a>
+      </dt>
+      <dd></dd>
+    </dl><dl>
+        <dt style="margin:10px 0 0 20px;">
+          <b>Overrides</b>
+        </dt>
+        <dd>
+        <a href="" target="contentFrame" class="scala/Product">scala.Product</a>.<a href="#productElement" target="contentFrame" class="scala/Product">scala.Product.productElement</a>
+        </dd>
+      </dl><hr></hr></div>
+
+
+    <hr></hr>
+        <table summary="" class="navigation">
+        <tr>
+          <td class="navigation-links" valign="top">
+            <!-- <table><tr></tr></table> -->
+          </td>
+          <td align="right" valign="top" style="white-space:nowrap;" rowspan="2">
+            <div class="doctitle-larger">SiMS</div>
+          </td>
+        </tr>
+        <tr><td></td></tr>
+      </table>
+      </body>
+      </html>
+\ No newline at end of file