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)