Determine whether the statement below is true or false. Justify the answer. If a set in ℝn is linearly​ dependent, then the set contains more vectors than there are entries in each vector. Question content area bottom Part 1 Choose the correct answer below. A. The statement is false. There exists a set in ℝn that is linearly dependent and contains n vectors. One example is a set in ℝ2 consisting of two vectors where one of the vectors is a scalar multiple of the other. B. The statement is true. For a set in ℝn to be linearly​ dependent, it must contain more than n vectors. C. The statement is false. If a set in ℝn is linearly​ dependent, then the set contains more entries in each vector than vectors. D. The statement is true. There exists a set in ℝn that is linearly dependent and contains more than n vectors. One example is a set in ℝ2 consisting of three vectors where one of the vectors is a scalar multiple of another.

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