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BIOLOGYLet W denote the subspace of $R^5$ consisting of all the vectors having coordinates that sum to zero. The vectors $u_1 = (2, -3,4, -5,2), u_2 = (-6,9, -12,15, -6),
u_3 = (3, -2,7, -9,1), u_4 = (2, - 8 , 2 , -2,6),
u_5 = (-1,1,2,1, - 3 ) , u_6= (0, - 3 , -18,9,12),
u_7 = (1,0, - 2 , 3 , -2), u_8 = (2, - 1 , 1 , -9,7)$
generate W. Find a subset of the set $\{u_1, u_2,... ,u_8\}\$ that is a basis for W.