Jeter and Pye gave an example to show that Pang’s conjecture, that L1ℝQℝR0, is false while Seetharama Gowda showed that the conjecture is true for symmetric matrices. It is known that L1-symmetric matrices are copositive matrices. Jeter and Pye as well as Seetharama Gowda raised the following question: Is it true C0ℝQℝR0? In this note the authors present an example of a copositive Q-matrix which is not R0. The example is based on the following elementary proposition: Let A be a square matrix of order n. Suppose R1=R2 where Ri stands for the ith row of A. Further suppose A11 and A22 are Q-matrices where Aii stands for the principal submatrix omitting the ith row and ith column from A. Then A is Q-matrix.
