For any characteristic polynomial determined from A - eI (where A is a nxn matrix, e is an eigenvalue and I is the identity matrix),(adsbygoogle = window.adsbygoogle || []).push({});

is it a rule that the coefficient associated with the char. polynomail term of highest degree must be positive ?

My tutor made a theory that if the characteristic polynomial's coefficient of highest power is negative, then divide it through by -1 to make it positive.

Im not sure why it has to be positive, so I'd really like some clarification

thanks

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# Characteristic polynomial coefficients

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