On Thursday, October 27, 2016 at 2:11:58 PM UTC-4, John H Palmieri wrote:
>
> (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.)
>
Those are not even the most annoying methods like this throughout Sage that
are not actually implemented but nonetheless appear in tab-completion,
thanks for the reminder - not sure how to fix it without putting in a bunch
of super-classes that don't have them.
>
> (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 get that argument, but also like that we have an error for 1 / 0 == 3 as
pointed out on that ticket. Then again, we not only don't raise an error
here, we actually have (again from the ticket)
sage: identity_matrix(10) == 1
True
I land - slightly - on the BB side.
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