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<ttclass="descname">simplify</tt><big>(</big><em>ratio=1.7</em>, <em>measure=<function count_ops at 0x2171500></em><big>)</big><aclass="reference internal" href="../../_modules/sympy/matrices/dense.html#MutableDenseMatrix.simplify"><spanclass="viewcode-link">[source]</span></a><aclass="headerlink" href="#sympy.matrices.dense.MutableDenseMatrix.simplify" title="Permalink to this definition">¶</a></dt>
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<ttclass="descname">simplify</tt><big>(</big><em>ratio=1.7</em>, <em>measure=<function count_ops at 0x1f8d578></em><big>)</big><aclass="reference internal" href="../../_modules/sympy/matrices/dense.html#MutableDenseMatrix.simplify"><spanclass="viewcode-link">[source]</span></a><aclass="headerlink" href="#sympy.matrices.dense.MutableDenseMatrix.simplify" title="Permalink to this definition">¶</a></dt>
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<dd><p>Applies simplify to the elements of a matrix in place.</p>
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<p>This is a shortcut for M.applyfunc(lambda x: simplify(x, ratio, measure))</p>
<ttclass="descname">LUdecomposition</tt><big>(</big><em>iszerofunc=<function _iszero at 0x2a802a8></em><big>)</big><aclass="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.LUdecomposition"><spanclass="viewcode-link">[source]</span></a><aclass="headerlink" href="#sympy.matrices.matrices.MatrixBase.LUdecomposition" title="Permalink to this definition">¶</a></dt>
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<ttclass="descname">LUdecomposition</tt><big>(</big><em>iszerofunc=<function _iszero at 0x289c320></em><big>)</big><aclass="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.LUdecomposition"><spanclass="viewcode-link">[source]</span></a><aclass="headerlink" href="#sympy.matrices.matrices.MatrixBase.LUdecomposition" title="Permalink to this definition">¶</a></dt>
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<dd><p>Returns the decomposition LU and the row swaps p.</p>
<ttclass="descname">LUdecomposition_Simple</tt><big>(</big><em>iszerofunc=<function _iszero at 0x2a802a8></em><big>)</big><aclass="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.LUdecomposition_Simple"><spanclass="viewcode-link">[source]</span></a><aclass="headerlink" href="#sympy.matrices.matrices.MatrixBase.LUdecomposition_Simple" title="Permalink to this definition">¶</a></dt>
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<ttclass="descname">LUdecomposition_Simple</tt><big>(</big><em>iszerofunc=<function _iszero at 0x289c320></em><big>)</big><aclass="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.LUdecomposition_Simple"><spanclass="viewcode-link">[source]</span></a><aclass="headerlink" href="#sympy.matrices.matrices.MatrixBase.LUdecomposition_Simple" title="Permalink to this definition">¶</a></dt>
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<dd><p>Returns A comprised of L, U (L’s diag entries are 1) and
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p which is the list of the row swaps (in order).</p>
<ttclass="descname">LUsolve</tt><big>(</big><em>rhs</em>, <em>iszerofunc=<function _iszero at 0x2a802a8></em><big>)</big><aclass="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.LUsolve"><spanclass="viewcode-link">[source]</span></a><aclass="headerlink" href="#sympy.matrices.matrices.MatrixBase.LUsolve" title="Permalink to this definition">¶</a></dt>
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<ttclass="descname">LUsolve</tt><big>(</big><em>rhs</em>, <em>iszerofunc=<function _iszero at 0x289c320></em><big>)</big><aclass="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.LUsolve"><spanclass="viewcode-link">[source]</span></a><aclass="headerlink" href="#sympy.matrices.matrices.MatrixBase.LUsolve" title="Permalink to this definition">¶</a></dt>
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<dd><p>Solve the linear system Ax = rhs for x where A = self.</p>
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<p>This is for symbolic matrices, for real or complex ones use
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sympy.mpmath.lu_solve or sympy.mpmath.qr_solve.</p>
@@ -947,7 +947,7 @@ <h2>MatrixBase Class Reference<a class="headerlink" href="#matrixbase-class-refe
<ttclass="descname">berkowitz_charpoly</tt><big>(</big><em>x=_lambda</em>, <em>simplify=<function simplify at 0x29729b0></em><big>)</big><aclass="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.berkowitz_charpoly"><spanclass="viewcode-link">[source]</span></a><aclass="headerlink" href="#sympy.matrices.matrices.MatrixBase.berkowitz_charpoly" title="Permalink to this definition">¶</a></dt>
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<ttclass="descname">berkowitz_charpoly</tt><big>(</big><em>x=_lambda</em>, <em>simplify=<function simplify at 0x278da28></em><big>)</big><aclass="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.berkowitz_charpoly"><spanclass="viewcode-link">[source]</span></a><aclass="headerlink" href="#sympy.matrices.matrices.MatrixBase.berkowitz_charpoly" title="Permalink to this definition">¶</a></dt>
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<dd><p>Computes characteristic polynomial minors using Berkowitz method.</p>
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<p>A PurePoly is returned so using different variables for <ttclass="docutils literal"><spanclass="pre">x</span></tt> does
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not affect the comparison or the polynomials:</p>
@@ -1013,7 +1013,7 @@ <h2>MatrixBase Class Reference<a class="headerlink" href="#matrixbase-class-refe
<ttclass="descname">charpoly</tt><big>(</big><em>x=_lambda</em>, <em>simplify=<function simplify at 0x29729b0></em><big>)</big><aclass="headerlink" href="#sympy.matrices.matrices.MatrixBase.charpoly" title="Permalink to this definition">¶</a></dt>
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<ttclass="descname">charpoly</tt><big>(</big><em>x=_lambda</em>, <em>simplify=<function simplify at 0x278da28></em><big>)</big><aclass="headerlink" href="#sympy.matrices.matrices.MatrixBase.charpoly" title="Permalink to this definition">¶</a></dt>
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<dd><p>Computes characteristic polynomial minors using Berkowitz method.</p>
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<p>A PurePoly is returned so using different variables for <ttclass="docutils literal"><spanclass="pre">x</span></tt> does
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not affect the comparison or the polynomials:</p>
@@ -1562,7 +1562,7 @@ <h2>MatrixBase Class Reference<a class="headerlink" href="#matrixbase-class-refe
<ttclass="descname">inverse_ADJ</tt><big>(</big><em>iszerofunc=<function _iszero at 0x2a802a8></em><big>)</big><aclass="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.inverse_ADJ"><spanclass="viewcode-link">[source]</span></a><aclass="headerlink" href="#sympy.matrices.matrices.MatrixBase.inverse_ADJ" title="Permalink to this definition">¶</a></dt>
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<ttclass="descname">inverse_ADJ</tt><big>(</big><em>iszerofunc=<function _iszero at 0x289c320></em><big>)</big><aclass="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.inverse_ADJ"><spanclass="viewcode-link">[source]</span></a><aclass="headerlink" href="#sympy.matrices.matrices.MatrixBase.inverse_ADJ" title="Permalink to this definition">¶</a></dt>
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<dd><p>Calculates the inverse using the adjugate matrix and a determinant.</p>
<ttclass="descname">inverse_GE</tt><big>(</big><em>iszerofunc=<function _iszero at 0x2a802a8></em><big>)</big><aclass="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.inverse_GE"><spanclass="viewcode-link">[source]</span></a><aclass="headerlink" href="#sympy.matrices.matrices.MatrixBase.inverse_GE" title="Permalink to this definition">¶</a></dt>
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<ttclass="descname">inverse_GE</tt><big>(</big><em>iszerofunc=<function _iszero at 0x289c320></em><big>)</big><aclass="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.inverse_GE"><spanclass="viewcode-link">[source]</span></a><aclass="headerlink" href="#sympy.matrices.matrices.MatrixBase.inverse_GE" title="Permalink to this definition">¶</a></dt>
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<dd><p>Calculates the inverse using Gaussian elimination.</p>
<ttclass="descname">inverse_LU</tt><big>(</big><em>iszerofunc=<function _iszero at 0x2a802a8></em><big>)</big><aclass="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.inverse_LU"><spanclass="viewcode-link">[source]</span></a><aclass="headerlink" href="#sympy.matrices.matrices.MatrixBase.inverse_LU" title="Permalink to this definition">¶</a></dt>
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<ttclass="descname">inverse_LU</tt><big>(</big><em>iszerofunc=<function _iszero at 0x289c320></em><big>)</big><aclass="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.inverse_LU"><spanclass="viewcode-link">[source]</span></a><aclass="headerlink" href="#sympy.matrices.matrices.MatrixBase.inverse_LU" title="Permalink to this definition">¶</a></dt>
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<dd><p>Calculates the inverse using LU decomposition.</p>
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<dlclass="method">
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<dtid="sympy.matrices.matrices.MatrixBase.rank">
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<ttclass="descname">rank</tt><big>(</big><em>iszerofunc=<function _iszero at 0x2a802a8></em>, <em>simplify=False</em><big>)</big><aclass="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.rank"><spanclass="viewcode-link">[source]</span></a><aclass="headerlink" href="#sympy.matrices.matrices.MatrixBase.rank" title="Permalink to this definition">¶</a></dt>
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<ttclass="descname">rank</tt><big>(</big><em>iszerofunc=<function _iszero at 0x289c320></em>, <em>simplify=False</em><big>)</big><aclass="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.rank"><spanclass="viewcode-link">[source]</span></a><aclass="headerlink" href="#sympy.matrices.matrices.MatrixBase.rank" title="Permalink to this definition">¶</a></dt>
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<dlclass="method">
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<dtid="sympy.matrices.matrices.MatrixBase.rref">
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<ttclass="descname">rref</tt><big>(</big><em>iszerofunc=<function _iszero at 0x2a802a8></em>, <em>simplify=False</em><big>)</big><aclass="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.rref"><spanclass="viewcode-link">[source]</span></a><aclass="headerlink" href="#sympy.matrices.matrices.MatrixBase.rref" title="Permalink to this definition">¶</a></dt>
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<ttclass="descname">rref</tt><big>(</big><em>iszerofunc=<function _iszero at 0x289c320></em>, <em>simplify=False</em><big>)</big><aclass="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.rref"><spanclass="viewcode-link">[source]</span></a><aclass="headerlink" href="#sympy.matrices.matrices.MatrixBase.rref" title="Permalink to this definition">¶</a></dt>
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<dd><p>Return reduced row-echelon form of matrix and indices of pivot vars.</p>
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<p>To simplify elements before finding nonzero pivots set simplify=True
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(to use the default SymPy simplify function) or pass a custom
@@ -2668,7 +2668,7 @@ <h2>MatrixBase Class Reference<a class="headerlink" href="#matrixbase-class-refe
<ttclass="descname">simplify</tt><big>(</big><em>ratio=1.7</em>, <em>measure=<function count_ops at 0x2171500></em><big>)</big><aclass="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.simplify"><spanclass="viewcode-link">[source]</span></a><aclass="headerlink" href="#sympy.matrices.matrices.MatrixBase.simplify" title="Permalink to this definition">¶</a></dt>
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<ttclass="descname">simplify</tt><big>(</big><em>ratio=1.7</em>, <em>measure=<function count_ops at 0x1f8d578></em><big>)</big><aclass="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.simplify"><spanclass="viewcode-link">[source]</span></a><aclass="headerlink" href="#sympy.matrices.matrices.MatrixBase.simplify" title="Permalink to this definition">¶</a></dt>
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<dd><p>Apply simplify to each element of the matrix.</p>
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