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retrieve field of a Matrix

asked 2016-11-24 06:42:28 -0600

fagui gravatar image

it may sound a stupid question,

but I'd like to know how to retrieve in a variable the field overwhich a Matrix is defined

for example, if

K=GF(7)
M=random_matrix(K,2,2)

Is there a function where i can define for example K'= M.field() [and K' would be equal to K]

?

M.parent() provides some information of course, but we cannot use it directly

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answered 2016-11-24 07:05:09 -0600

Use the base_ring method.

Here is an example.

Define a field.

sage: K = GF(7)
sage: K
Finite Field of size 7

A matrix over this field.

sage: M = random_matrix(K, 2, 2)

The matrix's base ring:

sage: KK = M.base_ring()
sage: KK
Finite Field of size 7

Check that it is the same as your original field.

sage: K is KK
True
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thank you !

fagui gravatar imagefagui ( 2016-11-24 10:52:41 -0600 )edit

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Asked: 2016-11-24 06:42:28 -0600

Seen: 20 times

Last updated: Nov 24 '16