MatrixRank[m, Modulus -> 5] is broken
- To: mathgroup at smc.vnet.net
- Subject: [mg97055] MatrixRank[m, Modulus -> 5] is broken
- From: ilan <ilanorv at cs.bgu.ac.il>
- Date: Wed, 4 Mar 2009 07:11:23 -0500 (EST)
I have a strange problem.
I ask for MatrixRank of matrix over the reals without Modulus and I get some number, assume 5;
next I add a raw into this matrix and ask for the rank and I get 5;
next I do both calculations using Modulus -> 7 and get 4 and 5.
There is a problem!!!
if a the additional raw was linear depended over the reals, it m-u-s-t be linear depended over Modulus because a linear combination for this extra row using other rows is valid when we apply Modulus -> 7.
Therefor I suppose to get 4 and 4.
what is the conclusion?
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