<?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 ^ List -- select rows</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="___Matrix_sp^_sp__Z__Z.html">next</a> | <a href="___Matrix_sp^_sp__Array.html">previous</a> | <a href="___Matrix_sp^_sp__Z__Z.html">forward</a> | <a href="___Matrix_sp^_sp__Array.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 ^ List -- select rows</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>f_rows</tt></div> </dd></dl> </div> </li> <li><span>Operator: <a href="_^.html" title="a binary operator, usually used for powers">^</a></span></li> <li><div class="single">Inputs:<ul><li><span><tt>f</tt>, <span>a <a href="___Matrix.html">matrix</a></span>, a matrix between free modules</span></li> <li><span><tt>rows</tt>, <span>a <a href="___List.html">list</a></span>, a list of integers denoting the choice of rows</span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><span>a <a href="___Matrix.html">matrix</a></span>, the submatrix of <tt>f</tt> corresponding to the rows in the list <tt>rows</tt>.</span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div>This is the same as calling <a href="_submatrix_lp__Matrix_cm__Visible__List_cm__Visible__List_rp.html">submatrix(f,rows,)</a>.<table class="examples"><tr><td><pre>i1 : R = QQ[a..f];</pre> </td></tr> <tr><td><pre>i2 : p = matrix {{a,b,c},{d,e,f}} o2 = | a b c | | d e f | 2 3 o2 : Matrix R <--- R</pre> </td></tr> <tr><td><pre>i3 : p^{1} o3 = | d e f | 1 3 o3 : Matrix R <--- R</pre> </td></tr> <tr><td><pre>i4 : p^{1,0} o4 = | d e f | | a b c | 2 3 o4 : Matrix R <--- R</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_submatrix.html" title="">submatrix</a></span></li> <li><span><a href="___Matrix_sp_us_sp__List.html" title="select columns">Matrix _ List</a> -- select columns</span></li> </ul> </div> </div> </body> </html>