<?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>diagonalMatrix(Ring,ZZ,ZZ,List) -- make a diagonal matrix from a list</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="___Dictionary.html">next</a> | <a href="_diagonal__Matrix_lp__Matrix_rp.html">previous</a> | <a href="___Dictionary.html">forward</a> | <a href="_diagonal__Matrix_lp__Matrix_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>diagonalMatrix(Ring,ZZ,ZZ,List) -- make a diagonal matrix from a list</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>diagonalMatrix(R,L)</tt><br/><tt>diagonalMatrix L</tt><br/><tt>diagonalMatrix(m,n,L)</tt><br/><tt>diagonalMatrix(R,m,n,L)</tt></div> </dd></dl> </div> </li> <li><span>Function: <a href="_diagonal__Matrix.html" title="make a diagonal matrix">diagonalMatrix</a></span></li> <li><div class="single">Inputs:<ul><li><span><tt>R</tt>, <span>a <a href="___Ring.html">ring</a></span>, the ring of the matrix, if specified</span></li> <li><span><tt>m</tt>, <span>an <a href="___Z__Z.html">integer</a></span>, the number of rows, if specified</span></li> <li><span><tt>n</tt>, <span>an <a href="___Z__Z.html">integer</a></span>, the number of columns, if specified</span></li> <li><span><tt>L</tt>, <span>a <a href="___List.html">list</a></span>, of elements in the ring <tt>R</tt> not longer than <tt>m</tt> or <tt>n</tt></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><span>a <a href="___Matrix.html">matrix</a></span>, a diagonal matrix whose diagonal entries are the elements of <tt>L</tt></span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><table class="examples"><tr><td><pre>i1 : R = QQ[a..d];</pre> </td></tr> <tr><td><pre>i2 : diagonalMatrix{a,b,c,3/4} o2 = | a 0 0 0 | | 0 b 0 0 | | 0 0 c 0 | | 0 0 0 3/4 | 4 4 o2 : Matrix R <--- R</pre> </td></tr> <tr><td><pre>i3 : diagonalMatrix(3,5,{a,b,3/4}) o3 = | a 0 0 0 0 | | 0 b 0 0 0 | | 0 0 3/4 0 0 | 3 5 o3 : Matrix R <--- R</pre> </td></tr> <tr><td><pre>i4 : diagonalMatrix(R,{1,2,3}) o4 = | 1 0 0 | | 0 2 0 | | 0 0 3 | 3 3 o4 : Matrix R <--- R</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_matrices.html" title="">matrices</a></span></li> </ul> </div> </div> </body> </html>