-8 -5 -1 6 -4 --- U₁ = -5 -6 -7 -10 1 -18 Compute the distance d from y to the subspace of R4 spanned by u₁ and U2. Let y = d= = → U2 =

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Q: Find the orthogonal projection of onto the subspace W of R4 spanned by projw() = -9 -4 -8 8 20 NHAW…

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Q: -2 3 Find the vector in the subspace W spanned by which is 1 27 closest to L 20] Answer:

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Q: *1. Which of the following are subspaces? Justify your answer in each case. (d) (x € R³ : x + x + x²…

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A: Given v1 = 10-2v2 = 311v3 = 612w = 321 The equation x1v1+x2v2+x3v3=w will have a solution if the…

Q: 0 Find the orthogonal projection of 0 onto the subspace of R4 spanned by 121 2 and 20

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Q: Let U₁, U2, U3 – be the following subspaces of Rª U₁={a, b, c, d)=R4| ²b=c; a=d=0}; U2={(a, b, c,…

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Q: Solution: be Now Thus Let Let G any Subspace of the vector space R 24 vector 2₂ A V = 2 04-1₂3-40 y=…

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