Suppose the system to the right is consistent for all possible values of f and g. What can you say about the coefficients c and d? Justify your answer. X1 + 5X2 =f cx1 + dx2= g Select the correct answer below. O A. The row reduction of | 1 2 |to 8 -62 0-or shows that d - 5c #0 since f and g are arbitrary. Otherwise, for some choices of f and g, the second row could correspond to an equation of 0 = b, where b is nonzero. Thus, d # 5c. O B. Since f and g are arbitrary and the system is consistent for all possible values of f and g, c= 0 and d = 1. Otherwise, the triangular form of the matrix will show that the system is inconsistent. O C. Since f and g are arbitrary, c and d can be any value and the system will be consistent. O D. The row reduction of 1 5 5 cdg to shows that d - 5c= 0 since f and g are arbitrary. Otherwise, for some choices of f and g, the second row could correspond to an o d-5c g - of equation of bX2 = 0 where b is nonzero. Thus, c = d = 0