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<div>:: <span class="kw">deftheorem </span>   defines <a href="matrixr2.html#V1" title="MATRIXR2:attr.1">invertible</a> <a onclick="hs(this)" href="javascript:()">MATRIXR2:def 5 : <br/></a><span> 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> holds <br/> ( <font color="Olive" title="b2">A</font> is  <a href="matrixr2.html#V1" title="MATRIXR2:attr.1">invertible</a>  iff  ex <font color="Olive" title="b3">B</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 <br/>( <font color="Olive" title="b3">B</font> <a href="matrixr2.html#K1" title="MATRIXR2:func.1">*</a> <font color="Olive" title="b2">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrixr2.html#K4" title="MATRIXR2:func.4">1_Rmatrix</a> <font color="Olive" title="b1">n</font> &amp; <font color="Olive" title="b2">A</font> <a href="matrixr2.html#K1" title="MATRIXR2:func.1">*</a> <font color="Olive" title="b3">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrixr2.html#K4" title="MATRIXR2:func.4">1_Rmatrix</a> <font color="Olive" title="b1">n</font> ) );<br/></span></div>
