Formal Definition
Given an endomorphism T on a finite-dimensional vector space V over a field F, let IT be the set defined as
where F is the space of all polynomials over the field F. IT is a proper ideal of F.
- The minimal polynomial is the monic polynomial which generates IT.
Thus it must be the monic polynomial of least degree in IT.
Read more about this topic: Minimal Polynomial (linear Algebra)
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