<?xml version="1.0" encoding="UTF-8"?>

<record version="5" id="8056">
 <title>diagonalizable</title>
 <name>Diagonalizable2</name>
 <created>2006-06-17 21:40:14</created>
 <modified>2007-06-05 21:39:45</modified>
 <type>Definition</type>
 <creator id="13753" name="Mathprof"/>
 <author id="13753" name="Mathprof"/>
 <classification>
	<category scheme="msc" code="15A21"/>
 </classification>
 <defines>
	<concept>diagonable</concept>
 </defines>
 <synonyms>
	<synonym concept="diagonalizable" alias="diagonalizable matrix"/>
	<synonym concept="diagonalizable" alias="diagonalizable matrices"/>
 </synonyms>
 <related>
	<object name="diagonalization"/>
	<object name="JordanCanonicalFormTheorem"/>
 </related>
 <preamble>% this is the default PlanetMath preamble.  as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.

% almost certainly you want these
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}

% used for TeXing text within eps files
%\usepackage{psfrag}
% need this for including graphics (\includegraphics)
%\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
% making logically defined graphics
%\usepackage{xypic}

% there are many more packages, add them here as you need them

% define commands here
</preamble>
 <content>A square matrix over any field is {\it diagonalizable} if it is similar to
a diagonal matrix. Sometimes such matrices are said to be {\it diagonable}.</content>
</record>
