Let M be a 5 x 5 real matrix. Exactly four of the following five conditions on M are equivalent to each other. Which of the five conditions is equivalent to NONE of the other four?
(A)For any two distinct column vectors u and v of M, the set {u, v} is linearly independent. (B)The homogeneous system Mx = 0 has only the trivial solution. (C)The system of equations Mx = b has a unique solution for each real 5 x 1 column vector b. (D)The determinant of M is nonzero.
A