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[answerhappygod]

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Consider the following. Х w-{{:}*+v-20) = у : x z = Z Find a basis for W. 11

Find the orthogonal complement wt of W and give a basis for wt. х w-{{:}-v-hou? 4, - - - = у : x = Zt t, z = 60 = 2 2 Z It 11

Find the orthogonal projection of v onto the subspace W spanned by the vectors u;. (You may assume that the vectors u; are orthogonal.) 1 3 -1 V = = u1 = -3 U2 1 2 1 6 lll