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M2 Consider the orthogonal set of vectors S = {m , u2 ,us} that spans a subspace W of R4. Consider the vector 2 given

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M2 Consider the orthogonal set of vectors S = {m , u2 ,us} that spans a subspace W of R4. Consider the vector 2 given below and \" a) Express x as the sum of two vectors y and z such that y lies in W and z lies in the orthogonal complement of W. b) Show that y and z are actually orthogonal. (10 points) 111 = 1 1.12 = l 113 = 0 35 E 3 1 0 "1 4 0. 1 1- 5 -1 1 all 6

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