MathGroup Archive 1997

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Matrix Rank


V. Nandagopal wrote:
> 
> Hello,
> 
>         Is there any function which will give me the rank of a matrix A?
> Something of the form Rank[A]?
> 
>         Thanks in advance,
> 
>         V. Nandagopal
>         School of Mathematics
>         Tata Institute of Fundamental Research
>         Colaba, Bombay 400 005, India
> 
>         e-mail: nandgopa at math.tifr.res.in


1) Count the number of nonzero rows in RowReduce[A]. This is safe only
with infinite precision (no decimal points).
2) If the matrix is numeric (decimal points) try SingularValues[A]. The
number of singular values returned is Mathematica's default estimate of
the rank. You can change the estimation criterion via the Tolerance
option.

--Garry Helzer
(gah at math.umd.edu)


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