<?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>matrix(RingMap) -- the matrix associated to a ring map</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_matrix_lp__Vector_rp.html">next</a> | <a href="_matrix_lp__Ring_cm__List_rp.html">previous</a> | <a href="_matrix_lp__Vector_rp.html">forward</a> | <a href="_matrix_lp__Ring_cm__List_rp.html">backward</a> | up | <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> <hr/> <div><h1>matrix(RingMap) -- the matrix associated to a ring map</h1> <div class="single"><h2>Synopsis</h2> <ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>matrix f</tt></div> </dd></dl> </div> </li> <li><span>Function: <a href="_matrix.html" title="make a matrix">matrix</a></span></li> <li><div class="single">Inputs:<ul><li><span><tt>f</tt>, <span>a <a href="___Ring__Map.html">ring map</a></span></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span>the matrix associated to the ring map <tt>f</tt>, computed by applying <tt>f</tt> to the matrix of variables of its source ring</span></li> </ul> </div> </li> <li><div class="single"><a href="_using_spfunctions_spwith_spoptional_spinputs.html">Optional inputs</a>:<ul><li><span><a href="_matrix_lp__List_rp.html">Degree => ...</a>, -- create a matrix from a doubly-nested list of ring elements or matrices</span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><table class="examples"><tr><td><pre>i1 : R = QQ[x,y] o1 = R o1 : PolynomialRing</pre> </td></tr> <tr><td><pre>i2 : S = QQ[s,t,u] o2 = S o2 : PolynomialRing</pre> </td></tr> <tr><td><pre>i3 : f = map(R,S,{x^2,x*y,y^2}) 2 2 o3 = map(R,S,{x , x*y, y }) o3 : RingMap R <--- S</pre> </td></tr> <tr><td><pre>i4 : matrix f o4 = | x2 xy y2 | 1 3 o4 : Matrix R <--- R</pre> </td></tr> </table> </div> </div> </div> </body> </html>