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<TITLE>RREF Reduced Row Echelon Form of a Matrix
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<H2>RREF Reduced Row Echelon Form of a Matrix
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Section: <A HREF=sec_array.html> Array Generation and Manipulations </A>
<H3>Usage</H3>
Calculates the reduced row echelon form of a matrix using Gauss
Jordan elimination with partial pivoting. The generic syntax
for <code>rref</code> is
<PRE>
R = rref(A)
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<P>
A default tolerance of <code>max(size(A))*eps*norm(A,inf)</code> is used to
detect negligible column elements. The second form of <code>rref</code>
returns a vector <code>k</code> as well as <code>R</code>
<PRE>
[R,k] = rref(A)
</PRE>
<P>
where <code>k</code> is a vector that correponds to the columns of <code>A</code>
used as pivot columns. If you want to control the tolerance
used to identify negligible elements, you can use the form
<PRE>
[R,k] = rref(A, tolerance)
</PRE>
<P>
This implementation of <code>rref</code> is based on the one from
the matcompat lib for octave. It is copyright Paul Kienzle,
and distributed under the GNU GPL.
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