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Minimal polynomial

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  1. of an n-by-n matrix A over a field F is the monic polynomial p(x) over F of least degree such that p =0

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 21, 2009
  2. term from linear algebra

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 21, 2009
  3. An endomorphism is diagonalizable if and only if every Jordan block has size 1, which is equivalent to each root of the minimal polynomial having multiplicity 1 (and the minimal polynomial factors completely)

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 21, 2009
  4. Any other polynomial q with q(A) = 0 is a (polynomial) multiple of p

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 21, 2009
  5. The following three statements are equivalent

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 21, 2009
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