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Minimal polynomial
Meaning
Noun
●
In Linear algebra:
For a given
square matrix
M over some
field
K, the smallest-degree
monic
polynomial
over K which, when
applied
to M,
yields
the
zero
m
atrix.
●
Given an
algebraic
element
α of a given
extension field
of some
field
K, the
monic
polynomial
of
smallest
degree
of which α is a root.
Sourced from
Wiktionary
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