Final answer:
To determine if s is in the subspace generated by S', we need to check if s can be expressed as a linear combination of the vectors in S'.
Step-by-step explanation:
In order to determine if s is in the subspace generated by S', we need to check if s can be expressed as a linear combination of the vectors in S'. If s can be written as a linear combination of the vectors in S', then it is in the subspace generated by S'. Otherwise, it is not in the subspace. To check if s is in the subspace, let's suppose that the vectors in S' are denoted as v1 and v2. If s can be written as s = a*v1 + b*v2 for some constants a and b, then it is in the subspace generated by S'. Therefore, in order to determine if s is in the subspace generated by S', we need to find the values for a and b that satisfy the equation s = a*v1 + b*v2.