Let W denote the subspace of R5 consisting of all vectors having coordinates that sum to
Chapter 3, Problem 8(choose chapter or problem)
Let W denote the subspace of R5 consisting of all vectors having coordinates that sum to zero. The vectors i = (2,-3,4,-5,2), 3 = (3,-2,7,-9,1), u5 = (-1,1,2,1,-3), u7 = (1,0,-2,3,-2), and u2 = (-6,9,-12,15,-6), u4 = (2,-8,2,-2,6), u6 = (0,-3,-18,9,12), u8 = (2,-l,l,-9,7 ) generate W. Find a subset of {ui,u2,..., ug} that is a basis for W.
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