2s 3s + 4t Let W be the set of all vectors of the form Show that W is a subspace of R“ by finding vectors u and v such that W = Span{u,v}. 4s 4t Write the vectors in W as column vectors. 2s 3s + 4t = su + tv 4s 4t OOOO OOL

Q: Find a subset ofbthebvectors v1=(0,2,2,4), v2=(1,0,−1,−3), v3=(2,3,1,1) and v4=(−2,1,3,2)that forms…

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Q: 1 2 Consider the column vectors vị = V2 = -1 and v3 = -1 1 (a) Use row operations on an appropriate…

A: The column vectors are v1=101, v2=2-10 and v3=0-1-2

Q: State whether the following statement is true or false: A vector space may have two or more zero…

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Q: If V₁, V2 and v3 are 3 vectors in a vector space V such that -7v₁-9v2 = 0. V, and v₂ are linearly…

A: Given that v1, v2, and v3 are 3 vectors in a vector space Vsuch that -7v1-9v2=0. Then v1, v2,and v3…

Q: Do question one only

A: (a)…

Q: Consider the set of vectors in M: 3 2 6 S = 2 3 15 -1 2 It follows that (A) S is a basis for M (B) S…

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Q: Need help with orthogonal vectors.

A: Step 1: Step 2: Step 3: Step 4:

Q: the function to find the image of v and the preimage of w. T(V1, V2, V3) = (4v2 - V1, 4V, + 5v), v =…

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Q: Let V₁, V2, V3 be the vectors in R³ defined by 16 11 3 12 34 (a) Is {V₁, V₂, V3} linearly…

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Q: ー0 Let A = -3 -8 %3D そ 14 Label the colmn vectors C ,s,C3, and Cy respeutively. let b. be a linear…

A: The given matrix is ;                     A =  577-10-311-86713914 If  C1 , C2 , C3  and  C4  are…

Q: A make linearly dependent set of vectors in R^4 Plase make sure you list three different reason why…

A: There are three different reason why the set of vectors is linearly dependent  If a set contains a…

Q: |3s + 3t Let W be the set of all vectors of the form 3s - 4t. Find vectors u and v in R³ such that…

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Q: Use the function to find the image of v and the preimage of w. T(V,, V2, V3) = (4v, - v,, 4v, +…

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Q: Use the function to find the image of v and the preimage of w. T(V1, V2, V3) = (V2 - V, V1 + V2,…

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Q: V2, V1 + v2, 2v1 - v2 ), v = (9, 9), w = (-3/2, 2, -8) (a) the image of v (b) the preimage of w (If…

A: This is a problem of vector calculus.

Q: Use the function to find the image of v and the preimage of w. T(V1, V2, V3) = (v2 - V1, Vị + V2,…

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Q: Let V1, V2, V3 be vectors in R³ given by 1 »-(;) · ~ -(:). = 6 V2 = 2 2 0 The set {V1, V2, V3} is…

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Q: What is the dimension of the vector space spanned by the vectors v1, v2? v1 = (6, -2, 4) and v2 =…

A: v1 = (6, -2, 4)  v2 = (14, 2,8)  There does not exist any real number c such that v1 = c v2 hence v1…

Q: Consider the vectors -0-0-0- 3 y = Write w as a inear combination of the first three vectors: V1 + 3…

A: Given vectors are  and .We need to write  as a linear combination of .

Q: Use the function to find the image of v and the preimage of w. T(V1, V2, V3) = (4v2 – V1, 4v, +…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: If V1 = [1 4 0] and V2 = [ -2 0 8], then determine all possible 1x3 row vectors V3 such that the set…

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Q: Find a linear mapping G that maps [0, 1] × [0, 1] to the parallelogram in the xy-plane spanned by…

A: The linear map G maps  to the parallelogram in XY-plane.The parallelogram is spanned by the vectors…

Q: Use the function to find the image of v and the preimage of w. T(V1, V2) = V2, V1 + V2, 2v, - v2 2…

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Q: Determine which set of vectors is orthogonal.

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Q: Edit 396 V396 Edit 396 396 show Work for this question: Modify Show Work

A: Given 3 vectors, u=5, 4, -5, 0, v=-1, -1, 1, -1, w=3, 2, 4, 5 Let,  x1=u-v=6, 5, -6, 1x2=u-w=2, 2,…

Q: Consider the vectors v₁ ví = (1,2,3,0), v = (0,1,2,3) and vg = (2,3, 4, -3) Let (1, 1, 1, 1) w (a)…

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Q: →→→ Let x, y, z be vectors such that x X X y x z →→ = a; y x ➜>> Z X X y = b and ° {(+5) x = -(-+)}…

A: It is given that x→=y→=z→=2 x→,y→,z→  makes angle of 600 with each other.x→×y→×z→=a →  ; y→×z→×x→=b→…