Determine if the set is a basis for R³. Justify your answer. 3 6 -5 3 2 11 0 3 Is the given set a basis for R³? O A. Yes, because these vectors form the columns of an invertible 3x3 matrix. By the invertible matrix theorem, the following statements are equivalent: A is an invertible matrix, the columns of A form a linearly independent set, and the columns of A span R". B. Yes, because these vectors form the columns of an invertible 3x3 matrix. A set that contains more vectors than there are entries is linearly independent. OC. No, because these vectors form the columns of a 3x3 matrix that is not invertible. By the invertible matrix theorem, the following statements are equivalent: A is a singular matrix, the columns of A form a linearly independent set, and the columns of A span R". D. No, because these vectors do not form the columns of a 3x3 matrix. A set that contains more vectors than there are entries is linearly dependent.

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