(1) Why should a nonsquare matrix even have an "is_similar" method? Can we
get rid of that? (Same for "determinant" and some other methods.)
(2) What is the definition of similar?
(a) Two matrices M and N, both square of the same size, are similar iff
there is an invertible matrix P so that M = PNP^{-1}.
or
(b) Two matrices M and N are similar iff there is an invertible matrix P
so that ...
--------
I vote for version (b) of the definition, so I vote
BB
We don't raise an error when asking if M == N for matrices of different
shapes, so why should we raise an error for M.is_similar(N)?
John
On Thursday, October 27, 2016 at 1:48:17 AM UTC-7, Frédéric Chapoton wrote:
>
> Hello,
>
> on https://trac.sagemath.org/ticket/18505, we are trying to enhance the
> *is_similar* method of matrices.
>
> Because we cannot agree, we require your vote on the following matter:
>
> 1) When M.is_similar(N) is called and either M or N is not square:
>
> A) raise an helpful specific error message
> B) return False
>
> 2) When M.is_similar(N) is called and M and N are square of different
> sizes:
>
> A) raise an helpful specific error message
> B) return False
>
> Please vote. I am voting AA
>
> Frederic
>
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