Please answer the following matrix question
Consider the vectors u_1 = [2 2 1 1 2], u_2 = [2 -1 -1 2 1], u_3 = [-2 -5 -3 0 -3], u_4 = [1 1 1 -1 1], u_5 = [-2 7 6 -7 1]. Let S R^5 be defined by S = span(u_1, u_2, u_3, u_4, u_5). Find a basis for S. What is the dimension of S? For each of the vectors u_1, u_2, u_3, u_4, u_5, which is not in the basis, express that vector as linear combination of the basis vectors. Consider the vectors w_1 = [9 6 4 1 8], w_2 = [3 -1 -1 2 2] Determine if each of these vectors is in S. If the vector is in S, write it as a linear combination of the basis vectors for S you found in the first part. Consider the vectors u_1 = [2 2 1 1 2], u_2 = [2 -1 -1 2 1], u_3 = [-2 -5 -3 0 -3], u_4 = [1 1 1 -1 1], u_5 = [-2 7 6 -7 1]. Let S R^5 be defined by S = span(u_1, u_2, u_3, u_4, u_5). Find a basis for S. What is the dimension of S? For each of the vectors u_1, u_2, u_3, u_4, u_5, which is not in the basis, express that vector as linear combination of the basis vectors. Consider the vectors w_1 = [9 6 4 1 8], w_2 = [3 -1 -1 2 2] Determine if each of these vectors is in S. If the vector is in S, write it as a linear combination of the basis vectors for S you found in the first part.