Question: 6. Let S = {u1,u2, 11.3} be an ordered basis for a subspace V E R4 with 1 l l 2 2 0 I. _

6. Let S = {u1,u2, 11.3} be an ordered basis for
6. Let S = {u1,u2, 11.3} be an ordered basis for a subspace V E R4 with 1 l l 2 2 0 \"I. _ 0 1 \"'2 _ 0 '.I \"'3 _ 2 0 0 1 1 (ii) [3 marks] Let it: = 51 . Find the projection of it: onto the subspace 2 V. (iii) [2 marks] Find a unit vector n such that for all u. E V, n - u. = 0. (iv) [4 marks] Is it possible to find a nonzero vector 11" such that (a) for all u. E V, n' - u, = 0, and (b) {11, n'} is linearly independent, where n is the unit vector in (iii)

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