Matrix Rank
- To: mathgroup at smc.vnet.net
- Subject: [mg7604] Matrix Rank
- From: gah <gah at math.umd.edu>
- Date: Thu, 19 Jun 1997 15:53:21 -0400 (EDT)
- Organization: University of Maryland, College Park
- Sender: owner-wri-mathgroup at wolfram.com
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)