nayana-c1.867c992ae9100904cc61c84591adf0f8f863e0387e30f0d0dbc86640e9f50a1a.en.train.293508

The task

Which of the following statements is true according to Theorem 9? A. b must always be a nonnegative linear combination of the vectors a1, a2, ..., am. B. There exists a vector d such that d^Tb > 0 and d^Ta_i < 0 for all i in {1, 2, ..., m}. C. Either b is a nonnegative linear combination of linearly independent vectors from a1, a2, ..., am, or there exists a vector d such that d^Tb < 0 and d^Ta_i >= 0 for all i in {1, 2, ..., m}. D. b cannot lie in the convex cone generated by the vectors a1, a2, ..., am. Return only the single uppercase letter of the correct option.