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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
