The set of column vectors R : | 1, 12, T3 E IR Is is a vector space with the standard operations. Let S = {51,52, 53, 54} where -30 17 55 šo = 15 4 -30 -33 19 -8 62 and T = {i1,72} where 10 io = 4, =...

Hi. Can you solve this with explanation? I am beginner in algebra .

Extracted text: The set of column vectors R : | 1, 12, T3 E IR Is is a vector space with the standard operations. Let S = {51,52, 53, 54} where -30 17 55 šo = 15 4 -30 -33 19 -8 62 and T = {i1,72} where 10 io = 4, = -5 8 11 Identify which statement below is correct. 1. (S) = (T) 2. (S) + (T) and (S) C (T) and (T) \ (S) # 0 3. (S) + (T) and (S) \ (T) # 0 and (T) C (S) 4. (S) + (T) and (S) \ (T) # 0 and (T) \ (S) + 0