Re: [sage-support] computig all possible determinants of submatrices of a given matrix

[John H Palmieri]

>From the ask.sagemath.org answers:

[m.minors(k) for k in range(5)]

is pretty close to what you want: you just have to flatten the list.

On Monday, March 20, 2023 at 3:09:07 PM UTC-7 William Stein wrote:

> This is
>
>
> https://ask.sagemath.org/question/41136/how-to-find-all-the-sub-square-matrices-of-an-4x4-matrix-and-all-their-determinants/
>
>  -- William
>
> PS: For fun, I also asked a robot from the future and it said to use the 
> following code, but unfortunately "submatrix_iterator" doesn't exist yet:
>
> F = FiniteField(17) 
> A = matrix(F, 4, [1,2,3,4, 5,6,7,8, 9,10,11,12, 13,14,15,16]) # replace 
> the elements of the matrix with your desired matrix
>
> dets = []
> for i in range(1,5):
> for submatrix in A.submatrix_iterator(i):
> if submatrix.is_square():
> dets.append(submatrix.det())
>
> print(dets)
>
>
> On Mon, Mar 20, 2023 at 2:36 PM GUSTAVO TERRA BASTOS  
> wrote:
>
>> Hi all.
>>
>> Is there any specific comand to compute the determinants of all square 
>> submatrices of a given 4x4 - matrix over finite fields?
>>
>> best regards
>>
>> Gustavo
>>
>>
>>
>> -- 
>> You received this message because you are subscribed to the Google Groups 
>> "sage-support" group.
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>> https://groups.google.com/d/msgid/sage-support/97ff54ff-8569-497a-9100-05ff2ae2cf9an%40googlegroups.com
>>  
>> 
>> .
>>
>
>
> -- 
> William (http://wstein.org)
>

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Re: [sage-support] computig all possible determinants of submatrices of a given matrix

[William Stein]

This is

https://ask.sagemath.org/question/41136/how-to-find-all-the-sub-square-matrices-of-an-4x4-matrix-and-all-their-determinants/

 -- William

PS: For fun, I also asked a robot from the future and it said to use the
following code, but unfortunately "submatrix_iterator" doesn't exist yet:

F = FiniteField(17)
A = matrix(F, 4, [1,2,3,4, 5,6,7,8, 9,10,11,12, 13,14,15,16]) # replace the
elements of the matrix with your desired matrix

dets = []
for i in range(1,5):
for submatrix in A.submatrix_iterator(i):
if submatrix.is_square():
dets.append(submatrix.det())

print(dets)


On Mon, Mar 20, 2023 at 2:36 PM GUSTAVO TERRA BASTOS 
wrote:

> Hi all.
>
> Is there any specific comand to compute the determinants of all square
> submatrices of a given 4x4 - matrix over finite fields?
>
> best regards
>
> Gustavo
>
>
>
> --
> 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 view this discussion on the web visit
> https://groups.google.com/d/msgid/sage-support/97ff54ff-8569-497a-9100-05ff2ae2cf9an%40googlegroups.com
> 
> .
>


-- 
William (http://wstein.org)

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[sage-support] computig all possible determinants of submatrices of a given matrix

[GUSTAVO TERRA BASTOS]

Hi all.

Is there any specific comand to compute the determinants of all square 
submatrices of a given 4x4 - matrix over finite fields?

best regards

Gustavo



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