Mathematica doesn't seem to have such a function for checking similarity. 
Maple returns false. I don't know for magma.

Best,
Travis


On Thursday, October 27, 2016 at 12:47:29 PM UTC-5, William wrote:
>
> Just curious:  what choice does magma (or maple or Mathematica etc) make 
> regarding this?
>
> On Thursday, October 27, 2016, Dima Pasechnik <dim...@gmail.com 
> <javascript:>> wrote:
>
>> AA
>> (but make sure docs make sense after the change)
>>
>> On Thursday, October 27, 2016 at 4:21:02 PM UTC, Travis Scrimshaw wrote:
>>>
>>> I am for BB because:
>>>
>>> 1 - the definition (as even given in the docstring) still makes full 
>>> sense if the matrices are not the same size or if they are not square. 
>>> There does not exist such a matrix P.
>>>
>>
>> this is an argument for changing the docs, yes.
>>  
>>
>>> 2 - It puts an unnecessary burden on the average user. They have to deal 
>>> with errors on a true/false question. You then also have to explain why 
>>> there is the error message to your linear algebra students, provided you 
>>> were very careful with your definition of similar matrices.
>>>
>>
>> Just as they have to deal with errors from multiplying matrices of 
>> different sizes.
>>  
>>
>>> 3 - It is a backwards incompatible change that (IMO) is not a bug and we 
>>> cannot deprecate.
>>>
>>>
>>  well, a wrong decision was made at some point. Do you mean to say one 
>> has to keep suffering from it forever? :-)
>>
>> Cheers,
>> Dima
>>
>> Best,
>>> Travis
>>>
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>
>
> -- 
> Sent from my massive iPhone 6 plus.
>

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