<?xml version="1.0" encoding="utf-8" ?> <!-- for emacs: -*- coding: utf-8 -*- --> <!-- Apache may like this line in the file .htaccess: AddCharset utf-8 .html --> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" "http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg-flat.dtd" > <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head><title>matrices</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_inputting_spa_spmatrix.html">next</a> | <a href="_primary_spdecomposition.html">previous</a> | <a href="_substitution_spand_spmaps_spbetween_springs.html">forward</a> | <a href="_ideals.html">backward</a> | <a href="index.html">up</a> | <a href="index.html">top</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> </td> </tr> </table> <div><a href="index.html" title="">Macaulay2Doc</a> > <a href="_matrices.html" title="">matrices</a></div> <hr/> <div><h1>matrices</h1> <div><h2>An overview</h2> In Macaulay2, each matrix is defined over a ring, (see <a href="_rings.html" title="">rings</a>). Matrices are perhaps the most common data type in Macaulay2.<p/> For additional common operations and a comprehensive list of all routines in Macaulay2 which return or use matrices, see <a href="___Matrix.html" title="the class of all matrices">Matrix</a>.</div> <div><h3>Menu</h3> <h4>making matrices</h4> <ul><li><span><a href="_inputting_spa_spmatrix.html" title="">inputting a matrix</a></span></li> <li><span><a href="_projections_cm_spinclusions_cm_spand_sppermutations.html" title="">projections, inclusions, and permutations</a></span></li> <li><span><a href="_random_spand_spgeneric_spmatrices.html" title="">random and generic matrices</a></span></li> </ul> <h4>operations involving matrices</h4> <ul><li><span><a href="_extracting_spinformation_spabout_spa_spmatrix.html" title="">extracting information about a matrix</a></span></li> <li><span><a href="_basic_sparithmetic_spof_spmatrices.html" title="">basic arithmetic of matrices</a></span></li> <li><span><a href="_concatenating_spmatrices.html" title="">concatenating matrices</a></span></li> <li><span><a href="_differentiation.html" title="">differentiation</a></span></li> </ul> <h4>determinants and related computations</h4> <ul><li><span><a href="_rank_spof_spa_spmatrix.html" title="">rank of a matrix</a></span></li> <li><span><a href="_determinants_spand_spminors.html" title="">determinants and minors</a></span></li> <li><span><a href="___Pfaffians.html" title="">Pfaffians</a></span></li> <li><span><a href="_exterior_sppower_spof_spa_spmatrix.html" title="">exterior power of a matrix</a></span></li> </ul> <h4>display of matrices and saving matrices to a file</h4> <ul><li><span><a href="_format_spand_spdisplay_spof_spmatrices_spin_sp__Macaulay2.html" title="">format and display of matrices in Macaulay2</a></span></li> <li><span><a href="_importing_spand_spexporting_spmatrices.html" title="">importing and exporting matrices</a></span></li> </ul> </div> </div> </body> </html>