Defined as the negative of the coefficient of the second highest term in the characteristic polynomial of the operator T, it also equals the sum of the eigenvalues of T, counting multiplicity.
For an operator T in a complex, finite dimensional, non-zero vector space V, this property does not depend on V because the characteristic polynomial does not depend on a choice of basis. Defined as the negative of the coefficient of the second highest term in the characteristic polynomial of the operator T, it also equals the sum of the eigenvalues of T, counting multiplicity. FTP, identify this value, which, for a square matrix, also equals the sum of the number on the right diagonal?
For an operator T in a complex, finite dimensional, non-zero vector space V, this property does not depend on V because the characteristic polynomial does not depend on a choice of basis.
{trace}