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<HTML>
<HEAD>
<TITLE>OUTER PRODUCT</TITLE>
</HEAD>
<BODY bgcolor="#FFFFFF" fgcolor="#000000">
<P><A NAME="outer product"></A>
<font size="+3" color="green"><B>OUTER PRODUCT</B></font></P>
<P>
<TABLE border="1" cols="2" frame="box" rules="all" width="572">
<TR>
<TD width="15%" valign="top"><B>Syntax</B>:</TD>
<TD width="85%"><CODE>
vout = v1 >< v2</CODE>
</TD></TR>
</table></p>
<p>
The outer product operator, <CODE>><</CODE>, operates on two
vectors and produces a matrix composed of all possible combinations of products of elements
of the vectors.</p>
<p>
If vector <CODE>X</CODE> has M elements and vector <CODE>Y</CODE> has N elements, then
<CODE>X><Y</CODE> is a matrix with M rows and N columns, where
<code>(X><Y)[i,j] = X[i]*Y[j]</code> for <code>i = 1,2,...,M</code> and
<code>j = 1,2,...,N</code>.</P>
<P><font size="+1" color="green">Example:</font></p>
<p>
Suppose you have two vectors <CODE>X = [1;3;5]</CODE> and <CODE>Y = [2;4]</CODE>, then</p>
<p>
<pre>
| 2 4 |
X><Y = | 6 12 |
| 10 20 |
</pre></p>
<P>
<a href="../append/append.htm"><img border="0" src="../../shadow_left.gif">
<font size="+1" color="olive">append vectors or strings</font></a><br />
<a href="../innerproduct/innerproduct.htm"><img border="0" src="../../shadow_right.gif">
<font size="+1" color="olive">inner product</font></a>
</P>
</BODY>
</HTML>
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