Let A and B be square matrices of same order. Prove that characteristic polynomials of AB and BA are same. Do AB and BA have same minimal polynomial ?
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Let A and B be square matrices of same order. Prove that characteristic polynomials of AB and BA are same. Do AB and BA have same minimal polynomial ?
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John D'Errico
on 30 Jul 2020
This is not a question about MATLAB. Please don't post your homework assignments to Answers.
Answers (1)
KSSV
on 30 Jul 2020
Calculate the eigenvalues of the product. They will be euqal.
A = rand(2) ;
B = rand(2) ;
AB = eig(A*B)
BA = eig(B*A)
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