0
$\begingroup$

If two $n \times n$ matrices have the same characteristic polynomials, determinant and trace, are they similar, EVEN if ($ \lnot \#Spec= 0$)?

$\endgroup$
4
$\begingroup$

The answer is no. Take the identity matrix and the matrix $$a_{11}=a_{12}=a_{22}=1, a_{21}=0.$$

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.