Given the set of vectors , decide which of the following statements is true:

A: Set is linearly independent and spans ℛ 3. Set is a basis for ℛ 3.

B: Set is linearly independent but does not span ℛ 3. Set is not a basis for ℛ 3.

C: Set spans ℛ 3 but is not linearly independent. Set is not a basis for ℛ 3.

D: Set is not linearly independent and does not span ℛ 3. Set is not a basis for ℛ 3.

(1,0,0),(0,1,2)

I think the answer is c sorry if I get it wrong