Find the minimal polynomial of a matrix
The minimal polynomial has a factor (x−λ)m if the largest block with the eigenvalue λ in the Jordan form is of the size m×m. ,The minimal polynomial of a square matrix A is the monic polynomial p of lowest degree such that p(A)=0. If q is another polynomial such that q(A)=0, ...
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 Find the minimal polynomial of a matrix 相關參考資料
Calculate minimal polynomial of a matrix - Mathematics Stack ...
Now by putting the matrix in the equation x(x2−4) if it comes 0 then x(x2−4) is the minimal polynomial else x2(x2−4) is the minimal polynomial. https://math.stackexchange.com How To Find Minimal Polynomial - Mathematics Stack Exchange
The minimal polynomial has a factor (x−λ)m if the largest block with the eigenvalue λ in the Jordan form is of the size m×m. https://math.stackexchange.com Finding the minimal polynomial of a matrix - Mathematics ...
The minimal polynomial of a square matrix A is the monic polynomial p of lowest degree such that p(A)=0. If q is another polynomial such that q(A)=0, ... https://math.stackexchange.com Is there any easy method to find the minimal polynomial of this ...
I think there is no easy method to find the minimal polynomial of this matrix, but rather the following idea might help: To find the characteristic ... https://math.stackexchange.com How to find the minimal polynomial of a matrix - Mathematics ...
The minimal polynomial must be a divisor of the characteristic polynomial. You've already found a factorization of the characteristic polynomial into ... https://math.stackexchange.com Finding minimal polynomial of a matrix - Math Stack Exchange
Note that (A4−5A2+4I)−A(A3−7A−6I)=0. This gives you a 2nd degree polynomial equation satisfied by A. Then use the conditions given to show that there's ... https://math.stackexchange.com The minimal polynomial
2015年10月22日 — polynomial of a square matrix A and recall some basic techniques to find roots of polynomials of small degree which may be useful. http://www.mi.uni-koeln.de MATH 4063-5023 Homework Set 7 1. Find the characteristic ...
Find the characteristic polynomials and minimal polynomials of the following matrices. ... The characteristic polynomial of this matrix is. pA (λ) = det. https://math.okstate.edu |