Determine if the set is a basis for RY. Justify your answer. N 11 Is the given set a basis for RS? O A. Yes, because these vectors form the columns of an invertible 3 x3 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" O B. No, because these vectors form the columns of a 3 x3 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". O C. Yes, because these vectors form the columns of an invertible 3 x 3 matrix. A set that contains more vectors than there are entries is linearly independent. O D. No, because these vectors do not form the columns of a 3 x3 matrix. A set that contains more vectors than there are entries is linearly dependent