1 Given v = -1 4 find the coordinates for v in the subspace W spanned by -7 -4 2 3 -2 u1 = 1 , u2 = 1 , Uz = 5 -1 and us = 1 , U4 = -1 16 -2 1 1 Note that u1, uz, U3, U4 and uz are orthogonal. u1+ 8 U3+ U5

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