Lemma 2. For a positive semi-definite Hermitian matrix A ∈ C M M \mathbf{A}\in\mathbb{C}^{M\times M} A∈CMM, the condition Rank ( A ) 1 \left(\mathbf{A}\right)1 (A)1 is equivalent to t h e following conditions the\textit{ following conditions} the fol…