We propose construction of a unique and definite metric (η₊), time-reversal operator (T) and an inner product such that the pseudo-Hermi tian matrix Hamiltonians are C, PT, CPT invariant and PT(CPT)-norm is in definite (definite). Here, P and C denote the generalized symmetries : parity and chargeconjugation respectively. The limitations of the other current approaches have been brought out.