http://www.mapleprimes.com/questions/143489-How-To-Find-The-MoorePenrose-Generalized en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Wed, 10 Jun 2026 21:33:18 GMT Wed, 10 Jun 2026 21:33:18 GMT The latest answers and comments added to the Question, How to find the Moore-Penrose generalized inverse of a matrix in Maple? http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/questions/143489-How-To-Find-The-MoorePenrose-Generalized http://www.mapleprimes.com/questions/143489-How-To-Find-The-MoorePenrose-Generalized?ref=Feed:MaplePrimes:How to find the Moore-Penrose generalized inverse of a matrix in Maple?:Comments#answer143490 <p>The cite from Maple Help to <a href="http://www.maplesoft.com/support/help/search.aspx?term=LinearAlgebra/MatrixInverse">?LinearAlgebra/MatrixInverse</a> :"The MatrixInverse(A) function, where A is a nonsingular square Matrix, returns the Matrix inverse <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; -1<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; A &nbsp;<br>.&nbsp; If A is singular, an error message is returned.&nbsp; If A is non-square, the Moore-Penrose pseudo-inverse is returned".</p> <p>PS. See <a href="http://en.wikipedia.org/wiki/Moore%E2%80%93Penrose_pseudoinverse">http://en.wikipedia.org/wiki/Moore%E2%80%93Penrose_pseudoinverse<br></a></p> <p>The cite from Maple Help to <a href="http://www.maplesoft.com/support/help/search.aspx?term=LinearAlgebra/MatrixInverse">?LinearAlgebra/MatrixInverse</a> :"The MatrixInverse(A) function, where A is a nonsingular square Matrix, returns the Matrix inverse <br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; -1<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; A &nbsp;<br>.&nbsp; If A is singular, an error message is returned.&nbsp; If A is non-square, the Moore-Penrose pseudo-inverse is returned".</p> <p>PS. See <a href="http://en.wikipedia.org/wiki/Moore%E2%80%93Penrose_pseudoinverse">http://en.wikipedia.org/wiki/Moore%E2%80%93Penrose_pseudoinverse<br></a></p> 143490 Thu, 14 Feb 2013 22:59:00 Z Markiyan Hirnyk Markiyan Hirnyk http://www.mapleprimes.com/questions/143489-How-To-Find-The-MoorePenrose-Generalized?ref=Feed:MaplePrimes:How to find the Moore-Penrose generalized inverse of a matrix in Maple?:Comments#answer143507 <p>And to get the Moore-Penrose generalized inverse of a singular square matrix, use <strong>LinearAlgebra:-MatrixInverse</strong> with the <strong>method= pseudo </strong>option. For example,</p> <p><strong>A:= &lt;&lt;0,0&gt;|&lt;1,0&gt;&gt;;</strong><br>&nbsp;<em>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [0&nbsp; 1]</em><br><em>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [&nbsp; &nbsp; &nbsp; ]</em><br><em>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [0&nbsp; 0]</em><br><strong>LinearAlgebra:-MatrixInverse(A, method= pseudo);</strong><br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<em> [0&nbsp; 0]</em><br><em>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [&nbsp;&nbsp; &nbsp;&nbsp; ]</em><br><em>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [1&nbsp; 0]</em></p> <p>And to get the Moore-Penrose generalized inverse of a singular square matrix, use <strong>LinearAlgebra:-MatrixInverse</strong> with the <strong>method= pseudo </strong>option. For example,</p> <p><strong>A:= &lt;&lt;0,0&gt;|&lt;1,0&gt;&gt;;</strong><br>&nbsp;<em>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [0&nbsp; 1]</em><br><em>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [&nbsp; &nbsp; &nbsp; ]</em><br><em>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [0&nbsp; 0]</em><br><strong>LinearAlgebra:-MatrixInverse(A, method= pseudo);</strong><br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<em> [0&nbsp; 0]</em><br><em>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [&nbsp;&nbsp; &nbsp;&nbsp; ]</em><br><em>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [1&nbsp; 0]</em></p> 143507 Fri, 15 Feb 2013 09:36:06 Z Carl Love Carl Love