Let U=span{ū, ,ū,,ūz and Û=span{u ,u,,u where ū,=(1,0,0,0), ū,=(0,1,1,0), ū,=(0,1,1,1) and u,=(1,0,0,1), u,=(1,1,0,0), u,=(0,0,1,1). Determine the basis and dimension of U & Û.

Q: Let U=span u, ,ū2, ūz and Ü=span{ú, ,ú2,úz where ü,=(1,0,0,0), ủ,=(0,1,1,0), ủ,=(0,1,1,1) and…

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Q: Give the component form of the vector represented by the directed line segment from (4, 5, 6) to (4,…

A: See this  solution in below

Q: Let U=span{uq ,U2,U3} Û=span {u, ,u,,u,} where ū,=(1,0,0,0), ū,=(0,1,1,0), ū,=(0,1,1,1) and…

A: (a) Given vectors are u1^→=1,0,0,1,u2^→=1,1,0,0,u3^→=0,0,1,1.   Consider U^=spanu1^→, u2^→, u3^→.…

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A: Approach to solving the question: Detailed explanation: Examples: Key…

Q: 1 -3 -~~# 8, V3 = -2 4 Determine if the set (v1, v2, v3} is linearly independent. 5) Let v₁ = -3, V2…

A: Our objective is given below:

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A: The given vectors u=-1, 4, v=4, 5. We have to find the values of u, v, u.v, du, v.

Q: For what value of m, the vector (m,3,1) a  linear combination of e\index{1}=(3,2,1) and…

A: We have to find the value of 'm' such that  is a linear combination of Assume

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A: We will find out the required solution.

Q: Let U​ =​{1, 2, 3, 4, a, b, c, d, e​}, E​ =​{1, 3, 4, c, d, e​},F​ =​{1, 2, b, c​}, and G​ =​{1, 2,…

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Q: Write v as a linear combination of u, u2, and u3, possible. (If not possible, enter IMPOSSIBLE.) =…

A: We will find out the required value.

Q: Let S = {(0,1,0), (,0, ), (, 0, )}. The %3D set S is an orthonomal set of vectors. If u = (2, 2, 1),…

A: see below the answer  here we use the system of equation to find (u)S

Q: * Find the Cartesion Coordinates of the points. (),(万,). (-2,2)

A: To convert Polar coordinates r, θ to Cartesian coordinates x, y apply:x=rcosθ   y=rsinθ

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Q: let W be an inner product space and let w1 and w2 be vectors in W. suppose ll w1 ll =5^1/2 and ll w2…

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Q: and = Wnte Pas the sum of two orthogonal vectors, 2 in S panƐu} and orthogonal to .

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Q: If u=(2,4)�=(2,4)  and v=(3,−4)�=(3,−4)  then proju(v)≈

A: The objective of this question is to find the projection of vector v onto vector u. The projection…

Q: If u=(1,4)�=(1,4)  and v=(3,2)�=(3,2)  then proju(v)≈

A: The objective of this question is to find the projection of vector v onto vector u. The projection…

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Q: A = {x: - 2, -1,0,1,2,3}, B = اذا كانت g: A + B بحيث {y: 0,1,2,3,4,5,6,7}, g(x) = 5 - x2 فأن المدى…

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Q: 2. Assume u = Z, and let A B = {..., -6, -4, -2,0,2, 4, 6,...} {-9, -6, -3,0, 3, 6, 9,...} {...,…

A: According to guidelines we can solve only first three subparts and rest part can be reposted…

Q: 17. Let U =1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ) T=12,3,9} V = (8, 9, 10} Find (T'uV

A: Some basic formulae for union and intersection of two sets are (i) X∪Y=X+Y-X∩Y(ii) X∪∅=X(iii)…

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A: The objective of this question is to determine whether the set of vectors S = {u1, u2, u3} spans the…

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A: a)b)c)d)

Q: Let U=span(ū, ,ū,,ū and Û=span {u, ,u,, where ü,=(1,0,0,0), ū,=(0,1,1,0), ủ,=(0,1,1,1) and…

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A: Step 1: Step 2:

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Q: Let v1=[-2,2,1], v2=[-8,7,4], v3=[-29,25,14], w=[6,6,1] is W in {v1,v2,v3}? how many vectors are…

A: a) Given that v1=-2,2,1,v2=-8,7,4,v3=-29,25,14,w=6,6,1. It is required to find whether w is in…