Hello,
How can I prove the following claim:
Let A be a matrix n x n, on the Rational field. (A belongs to Mn(R))
=> fA | mA^n
(fA = the characteristic polynomial of the matrix A, mA = the minimal polynomial of A)
thank you very much
David
Hello,
How can I prove the following claim:
Let A be a matrix n x n, on the Rational field. (A belongs to Mn(R))
=> fA | mA^n
(fA = the characteristic polynomial of the matrix A, mA = the minimal polynomial of A)
thank you very much
David