The trace Tr(A) of a 3 × 3 matrix A = (aij) is defined by the relation Tr(A) = a11 + a22 + a33 (i.e., Tr(A) is sum of the main diagonal elements). Which of the following statements cannot hold?
(a) Tr(kA) = kTr (A) (k is a scalar)
(b) Tr(A + B) = Tr (A) + Tr (B)
(c) Tr(I3) = 3
(d) Tr (A2) = Tr (A)2
