Determine if is a subspace of No. Yes. S= {[₁] <1 € R² :x+y≥ u>0} R².

Q: rove that W2 = {(a,b) E R² : a = 26²} is not a subspace of R?.

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Q: Let W = Span thogonal to W. -3 2 be a subspace of R4. Find W₁, the subspace

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Q: Let H = {[ 21 12 x1, x2 € R 1,2 Show whether or not H is a subspace of R3.

A: We satisfy the clouser and scaler multiplication and show that 0 vector is also in H so H is a…

Q: Determine whether the set S'is linearly independent or linearly independent. S = {(0,0) , (2, 6)}…

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Q: 15 Suppose U is a subspace of V. What is U + U?

A: Let V be a vector space and U be it's subspace. Then , for all u,v ∈ U  u+v∈U and  cu ∈ U ,where c…

Q: The closest point is

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Q: 4. Determine whether W is a subspace of R³. a. W = {(x-1, x,x) x ER} b. W = {(3x, 0,-x)|x = R} 3 x 0…

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Q: Find all values of h such that vector y will be in the subspace of R spanned by vectors 3. V1, V2,…

A: we will first find the equivalent matrix and then reduce it to row echelon form

Q: All computations must be shown. 1. Let pi(t) = 1+ t², p2(t) = t +t² and p3(t) = 1 + 2t + t² be…

A: Consider the provided question, given,p1t=1+t2p2t=t+t2and p3t=1+2t+t2

Q: 5. Let H = {x E R³| x1 + x2 + X3 = 0}. Prove that H is a subspace of R3.

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Q: 2. Let H be the set of all vectors of the form claim. 2t 0. Is H a subspace of R³? Show your

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Q: Which of the following is a subspace of p2? O a. R2 x, e R W = Зх, + 1 1. Ob. W = ER| x*2 2 0 C. ER?…

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Q: 2t 6. Let H be the set of all vectors Show that H is a subspace of R³. What is the -t dimension of…

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Q: 5. Let U = {(u1, U2, U3) E R3³|u₁ + u2u3 = 0} and V = {(v₁, V2, V3) E R³|v1 - 302 +503 = 0}. (a)…

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Q: Q.4 Show that U {(x, -x) |x in R} is a subspace of R?. %3D

A: Consider the given set. U=x,-x|xinR Let, consider that, f,g∈V And f, and g is defined as.…

Q: 1. Is the subset V {(x, y, z, w), y = 3z, w = 2x + 1) a subspace of R*? Show the details of %3D your…

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Q: [1030] Let A = 0 120 %3D V be the null space of A, and W= V.What is the dimension of W? 0 0 00 1 3.…

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Q: Find the closest point to y in the subspace W spanned by V₁ and V₂ 2 4 -6 2 3 3 2 y = a. O O a O с…

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