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<div class="header">
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<a href="#func-members">Functions</a>  </div>
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<div class="title">Matrix Inverse</div>  </div>
<div class="ingroups"><a class="el" href="group__group_matrix.html">Matrix Functions</a></div></div><!--header-->
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:ga542be7aabbf7a2297a4b62cf212910e3"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_inv.html#ga542be7aabbf7a2297a4b62cf212910e3">arm_mat_inverse_f32</a> (const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *pSrc, <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *pDst)</td></tr>
<tr class="memdesc:ga542be7aabbf7a2297a4b62cf212910e3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point matrix inverse.  <a href="#ga542be7aabbf7a2297a4b62cf212910e3"></a><br/></td></tr>
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<tr class="memitem:gaede2367c02df083cc915ddd5d8fae838"><td class="memItemLeft" align="right" valign="top"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group___matrix_inv.html#gaede2367c02df083cc915ddd5d8fae838">arm_mat_inverse_f64</a> (const <a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> *pSrc, <a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> *pDst)</td></tr>
<tr class="memdesc:gaede2367c02df083cc915ddd5d8fae838"><td class="mdescLeft">&#160;</td><td class="mdescRight">Floating-point matrix inverse.  <a href="#gaede2367c02df083cc915ddd5d8fae838"></a><br/></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Description</h2>
<p>Computes the inverse of a matrix.</p>
<p>The inverse is defined only if the input matrix is square and non-singular (the determinant is non-zero). The function checks that the input and output matrices are square and of the same size.</p>
<p>Matrix inversion is numerically sensitive and the CMSIS DSP library only supports matrix inversion of floating-point matrices.</p>
<dl class="section user"><dt>Algorithm </dt><dd>The Gauss-Jordan method is used to find the inverse. The algorithm performs a sequence of elementary row-operations until it reduces the input matrix to an identity matrix. Applying the same sequence of elementary row-operations to an identity matrix yields the inverse matrix. If the input matrix is singular, then the algorithm terminates and returns error status <code>ARM_MATH_SINGULAR</code>. <div class="image">
<img src="MatrixInverse.gif" alt="MatrixInverse.gif"/>
<div class="caption">
Matrix Inverse of a 3 x 3 matrix using Gauss-Jordan Method</div></div>
 </dd></dl>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="ga542be7aabbf7a2297a4b62cf212910e3"></a>
<div class="memitem">
<div class="memproto">
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          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_inverse_f32 </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
          <td class="paramname"><em>pSrc</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="structarm__matrix__instance__f32.html">arm_matrix_instance_f32</a> *&#160;</td>
          <td class="paramname"><em>pDst</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to input matrix structure </td></tr>
    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output matrix structure </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>The function returns <code>ARM_MATH_SIZE_MISMATCH</code> if the input matrix is not square or if the size of the output matrix does not match the size of the input matrix. If the input matrix is found to be singular (non-invertible), then the function returns <code>ARM_MATH_SINGULAR</code>. Otherwise, the function returns <code>ARM_MATH_SUCCESS</code>. </dd></dl>
<dl><dt><b>Examples: </b></dt><dd><a class="el" href="arm_matrix_example_f32_8c-example.html#a14">arm_matrix_example_f32.c</a>.</dd>
</dl>
<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a91509ea9c819dbd592ac13a6b05382dc">ARM_MATH_SINGULAR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__f32.html#acdd1fb73734df68b89565c54f1dd8ae2">arm_matrix_instance_f32::numCols</a>, <a class="el" href="structarm__matrix__instance__f32.html#a23f4e34d70a82c9cad7612add5640b7b">arm_matrix_instance_f32::numRows</a>, <a class="el" href="structarm__matrix__instance__f32.html#af3917c032600a9dfd5ed4a96f074910a">arm_matrix_instance_f32::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>

<p>Referenced by <a class="el" href="arm__matrix__example__f32_8c.html#a52d2cba30e6946c95578be946ac12a65">main()</a>.</p>

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</div>
<a class="anchor" id="gaede2367c02df083cc915ddd5d8fae838"></a>
<div class="memitem">
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      <table class="memname">
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          <td class="memname"><a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6">arm_status</a> arm_mat_inverse_f64 </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> *&#160;</td>
          <td class="paramname"><em>pSrc</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype"><a class="el" href="structarm__matrix__instance__f64.html">arm_matrix_instance_f64</a> *&#160;</td>
          <td class="paramname"><em>pDst</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
</div><div class="memdoc">
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">*pSrc</td><td>points to input matrix structure </td></tr>
    <tr><td class="paramdir">[out]</td><td class="paramname">*pDst</td><td>points to output matrix structure </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>The function returns <code>ARM_MATH_SIZE_MISMATCH</code> if the input matrix is not square or if the size of the output matrix does not match the size of the input matrix. If the input matrix is found to be singular (non-invertible), then the function returns <code>ARM_MATH_SINGULAR</code>. Otherwise, the function returns <code>ARM_MATH_SUCCESS</code>. </dd></dl>

<p>References <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a91509ea9c819dbd592ac13a6b05382dc">ARM_MATH_SINGULAR</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a7071b92f1f6bc3c5c312a237ea91105b">ARM_MATH_SIZE_MISMATCH</a>, <a class="el" href="arm__math_8h.html#a5e459c6409dfcd2927bb8a57491d7cf6a9f8b2a10bd827fb4600e77d455902eb0">ARM_MATH_SUCCESS</a>, <a class="el" href="structarm__matrix__instance__f64.html#ab0f0399aff3201880e2d8a447de9a7ee">arm_matrix_instance_f64::numCols</a>, <a class="el" href="structarm__matrix__instance__f64.html#a8b44d1e5003345047c4ead9e1593bf22">arm_matrix_instance_f64::numRows</a>, <a class="el" href="structarm__matrix__instance__f64.html#a5b2475f8ff1e4818955cdd18bc40a097">arm_matrix_instance_f64::pData</a>, and <a class="el" href="_a_r_m_2arm__dotproduct__example__f32_8c.html#a88ccb294236ab22b00310c47164c53c3">status</a>.</p>

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