Which one of the following statements is TRUE about every n × n matrix with only real eigenvalues?

• A. If the trace of the matrix is positive and the determinant of the matrix is negative, at least one of its eigenvalues is negative.
• B. If the trace of the matrix is positive all its eigenvalues are positive.
• C. If the determinant of the matrix is positive, all eigenvalues are positive.
• D. If the product of the trace and determinant of the matrix is positive, all its eigenvalues are positive.