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<div><span class="kw">theorem </span><a NAME="T81"><span class="comment"><font color="firebrick">:: MATRIXR2:81</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">A</font> being   <a href="matrix_0.html#NM3" title="MATRIX_0:NM.3">Matrix</a> of <font color="Olive" title="b1">n</font>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>  st <font color="Olive" title="b2">A</font> is  <a href="matrixr2.html#V1" title="MATRIXR2:attr.1">invertible</a>  holds <br/> <a href="matrixr2.html#K3" title="MATRIXR2:func.3">Det</a> <span class="p1">(<span class="default"><a href="matrixr2.html#K7" title="MATRIXR2:func.7">Inv</a> <font color="Olive" title="b2">A</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="matrixr2.html#K3" title="MATRIXR2:func.3">Det</a> <font color="Olive" title="b2">A</font></span>)</span> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a> </div></div>
