On 2014-03-06, Kuai Yu <yukuai...@gmail.com> wrote: > > > Rank-nullity theorem states that the rank and the nullity of a matrix add > up to the number of columns of a matrix. In the following example, the > matrix defined over R has 5 columns but its rank and nullity add up to 4. > Is this a bug? no; these kinds of theorems come in pairs, in the sense that you can consider acting by your matrix on the right, or on the left.
There are m.right_nullity() and m.left_nullity() sage: m = matrix(RR,[[1,-1,2,0,3],[2,-1,3,-1,2],[3,0,3,0,6],[6,0,6,-1,9]]) sage: m.left_nullity() 1 sage: m.right_nullity() 2 Is there something wrong in documentation regarding them? -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out.
