Minimal polynomial of matrix
,In field theory, a branch of mathematics, the minimal polynomial of a value α is, roughly speaking, the polynomial of lowest degree having coefficients of a ... ,As the given matrix is symmetric it is diagonalizable ⇒ its minimal polynomial has distinct roots ⇒ minimal polynomial =x(x−2)(x+2). ,2015年10月22日 — This is a monic polynomial of degree n. The motivation for this definition essentially comes from the invertible matrix theorem, especially ... ,Similar matrices have the same minimal polynomial — Proposition If a matrix has no repeated eigenvalues, then its characteristic and minimal ... ,2011年3月3日 — In linear algebra the minimal polynomial of an algebraic object is the monic polynomial of least degree which that object satisfies. ,Matrix Minimal Polynomial ... p(A)=sum_(i=0)^nc_iA^i= ... and, in particular, it divides the characteristic polynomial. ... REFERENCES: Dummit, D. and Foote, R.
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 Minimal polynomial of matrix 相關參考資料
Minimal polynomial (linear algebra) - Wikipedia
https://en.wikipedia.org Minimal polynomial (field theory) - Wikipedia
In field theory, a branch of mathematics, the minimal polynomial of a value α is, roughly speaking, the polynomial of lowest degree having coefficients of a ... https://en.wikipedia.org Calculate minimal polynomial of a matrix - Mathematics Stack ...
As the given matrix is symmetric it is diagonalizable ⇒ its minimal polynomial has distinct roots ⇒ minimal polynomial =x(x−2)(x+2). https://math.stackexchange.com The minimal polynomial
2015年10月22日 — This is a monic polynomial of degree n. The motivation for this definition essentially comes from the invertible matrix theorem, especially ... http://www.mi.uni-koeln.de Minimal polynomial - StatLect
Similar matrices have the same minimal polynomial — Proposition If a matrix has no repeated eigenvalues, then its characteristic and minimal ... https://www.statlect.com Minimal polynomial - Knowino
2011年3月3日 — In linear algebra the minimal polynomial of an algebraic object is the monic polynomial of least degree which that object satisfies. https://www.theochem.ru.nl Matrix Minimal Polynomial -- from Wolfram MathWorld
Matrix Minimal Polynomial ... p(A)=sum_(i=0)^nc_iA^i= ... and, in particular, it divides the characteristic polynomial. ... REFERENCES: Dummit, D. and Foote, R. https://mathworld.wolfram.com |