What is the dimension of the sum of subspaces V and W in R^4, if V=span{(1,−1,0,1),(1,0,−1,1)} and W=span{(1,−2,1,1),(0,1,−1,0)}? (a) 0(b) 1.(c) 2.(d) 3.(e) 4

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A: Since you have posted multiple questions, we will provide the solution only to the first question as…

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Q: 2) One of the following subsets of IR2 is not subspace: a) S = {, xeR} b) s = {], = x3} %3D %3D e) s…

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Q: 5. Let W be the subspace of the vector space V = R spanned by the vectors =(1,3, 1, -2), B = (-3,…

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Q: 4. Consider the ordered basis E = (₁.e₁-es) for R². If [v] = (1,-1)", then v= e, 4 c H (b) 2e +ez…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Let {v1 = (1,2,3,5,9), v2 = (3,1,2,8,9), v3 = (2, -5,5,9,4)} and {u1 = (0,1,1,1,2), u2 = (0,2, -2,…

A: The given question is related with vector space. Given that , v1 = 1,2,3,5,9 , v2 = 3,1,2,8,9 , v3 =…

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A: The solution is given as

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A: To Show: If V is a subset of ℝ5, with dimV =5 then V=ℝ5.

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Q: ) Consider C with the usual inner product, given by (u, v) = ₁₁ + The vectors are orthogonal. Let…

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