Determine which of the following sets is a basis for C3. 5 3 i 2 (a) (b) 3 i 2 i 2i 3 i 3 - 1 (a) Is the given set a basis for C3? A. No, because it is a linearly independent set that spans C3. B....

Determine which of the following sets is a basis for C^3.

Extracted text: Determine which of the following sets is a basis for C3. 5 3 i 2 (a) (b) 3 i 2 i 2i 3 i 3 - 1 (a) Is the given set a basis for C3? A. No, because it is a linearly independent set that spans C3. B. Yes, because it contains three vectors in C3. O c. No, because it is a linearly dependent set that does not span C3 D. Yes, because it is a linearly independent set that spans C3. E. Yes, because it is a linearly dependent set that spans C3. O F. No, because one of the vectors in the set is not in C³. (b) Is the given set a basis for C3? O A. No, because it is a linearly independent set that spans C3. O B. Yes, because it contains three vectors in C3. O c. No, because only one of the vectors in the set is in C3.