Find the minimal polynomial of a matrix
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. ,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, ... ,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 ... ,The minimal polynomial must be a divisor of the characteristic polynomial. You've already found a factorization of the characteristic polynomial into ... ,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 ... ,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. ,Find the characteristic polynomials and minimal polynomials of the following matrices. ... The characteristic polynomial of this matrix is. pA (λ) = det.
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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 |