Express the following as a linear combination of u = (6, 1, 7), v = (1, -1, 4) and w = (2, 6, 4). (24, 12, 24) = i i i u- v+

Q: For which value of z the set of vectors is a linearly dependent set in R2? 3. Select one: -2 3. none…

A: Option A is correct option. x= -2

Q: Which of the following sets of vectors in R³ are linearly dependent? Note. Mark all your choices.…

A: We want to find linearly dependent vectors. We know that a set of vectors is said to be linearly…

Q: Write v as a linear combination of u1, u2, and u3, if possible.v = (0, 5, 3, 0), u1 = (1, 1, 2, 2),…

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Q: Determine whether a=(2,-2,4), b=(3,5,4) and c=(0,1,1) are linearly dependent or not?

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Q: Consider the following 3 vectors. v1=[25,−13], v2=[11,−11] and v3=[−17,25]. Take them pairwise,…

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Q: Write the vector w = (1, 1, 1) as a linear combination of vectors in the set S. V2 V3 S = {(1, 2,…

A: See the attachment.

Q: Write v as a linear combination of u and w, if possible, where u = (1, 2) and w = (1, −1). v = (−1,…

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Q: Determine whether u = is a linear combination of vị and V2

A: Here given that                        u=213 , v1=13  and v2=2-1 Now we determine that u=213 is a…

Q: Let u= (1,1,−2) and v= (a,−1,2). For what values of a are u and v orthogonal?

A: Two vectors are said to be orthogonal to each other if their dot product is zero. we are given u=…

Q: Which of the following sets of vectors in R are linearly dependent? Note. Mark all your choices. O…

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Q: Which of the following sets of vectors in R³ are linearly dependent? Note. Mark all your choices.…

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Q: ) Let B = {vi =,₂ =, V3 =}. Determine whether B is linearly independent or linearly dependent.

A: Let us consider a set of vectors V=v1,v2,.......vn. The set of vectors are said to be linearly…

Q: Write v as a linear combination of u1, u2, and u3, if possible. (Enter your answer in terms of u1,…

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Q: Which of the following sets of vectors in R³ are linearly dependent? Note. Mark all your choices.…

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Q: For what values of h is v3 in span {v1, v½} and for what values of h is {vi, V2, V3} linearly…

A: Given vectors  V1=133 , V2=39-1, V3=-2-6h 1) V3=Span{ v1, v2} 2) V1,V2,V3 is linearly dependent.

Q: Find (a) ||u||, (b) ||v||, (c) u ∙ v, and (d) d(u, v).u = (1, −2, 2, 0), v = (2, −1, 0, 2)

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Q: Find ||u||, ||v ||, and ||u + v||. -(-1. 금), v-(2.-3) v = (2 - ± ) u = 4 (a) ||u|| (b) ||v|| (c) ||u…

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Q: let V be the Euclidean space R3 with the standard inner product.

A: Given:          u = 11-2  and  v = a-12 To find :             The values of a, for which u and v…

Q: Every vector of R²is linear combination of (-1, 1), (2, –2)? Justify

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Q: Which of the following sets of vectors in R³ are linearly dependent? Note. Mark all your choices.…

A: Set of vectors x1, x2, ...xk is independent vectors if for scalar a1, a2,..., an.…

Q: (a) Determine whether W= (0, 5, 4) can be expressed as a linear combination of the vectors v1 =…

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Q: Let v (k,2k,1) and w (k,-1,-8). For which values of k are v andw orthogonal?

A: Calculation:Since it is given that v and w are orthogonal, v ∙ w = 0.

Q: Which of the following sets of vectors in R° are linearly dependent? Note. Mark all your choices. O…

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Q: Determine whether u= (-1, 11) is a linear combination of x =(1,3) and y=(2,-1).

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Q: Determine R21, the vector from P2(5, 2,–4) to P1 (3, –1,0). 2аx + Зау — 4а, — 2ах — Зау + 4a, | 4ах…

A: Given the points P25,2,-4 and P13,-1,0. To find vector R21 from above two points. The vector from…

Q: . Show that the vectors V1=(0, 3, 1, -1); V2=(6, 0, 5, 1); V3=(4, -7, 1, 3) form a linearly…

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

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Q: 5. For which value of x do the following vectors form a linearly dependent set in R -1 y =|x, in- х,

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Q: Write v as a linear combination of u and w, if possible, where u = (1, 2) and w = (1, −1). v = (1,…

A: Given u=1,2 and w=1,-1 , v=1,-4we write v is a linear combination of u and w if possible .

Q: Write v as a linear combination of u1, u2, and u3, if possible. v = (3, 0, −6), u1 = (1, −1, 2), u2…

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Q: write v as a linear combination of u1, u2, u3, if possible. v=(2,5,-4,0), u1=(1,3,2,1),…

A: Consider the vector v=2,5,-4,0. We have to express the vector v as a linear combination of the…

Q: Determine if each of the following set of vectors are linearly dependent or linearly independent.…

A: Given query is to find vectors are linearly dependent or indipendent.

Q: (a) Show that if {ủ, v} is linearly independent then {2u – ở, ù + 37} is linearly independent. |

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Q: Which of the following sets of vectors in R3 are linearly dependent? Note. Mark all your choices. O…

A: Notice that 12, -42, 18=62, -7, 3. So,  is linearly dependent. We observe that  is linearly…

Q: The vectors u=[-3, -4, -17]T , v=[3, 0, -6+k]T, w=[-1, 2, 1]Tare linearly dependent if and only if k…

A: The vectors u=[-3, -4, -17]T , v=[3, 0, -6+k]T, w=[-1, 2, 1]Tare linearly dependent if and only if k…

Q: Express the vector x as a linear combination of the u's. --0-0-0- 0, U₂5, U3 = -50 Select one: O A.…

A: Two matrices can only be added, if the dimensions of both matrices are the same. When two matrices…

Q: Find (u, v) for (u, v) = 2u,v, +3u, v, +u,v, defined in R, where u (9,0,-3) and v (8, 2,17). A. (u,…

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

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Q: Find ||u||, ||v||, u-v, and d(u, v). u = (-1, 3), v = (3, 4) (a) ||u|| (b) ||v| (c) u. V (d) d(u, v)

A: We have to find u , v , u·v , and d(u, v) where u=(-1, 3) and v=(3, 4) .

Q: Given that v = (2,3, 4), vị = (1,0,1), v2 = (0,-1, 1), vz = (-1,-1,1). Express v as a linear…

A: Given, v=2,3,4, v1=1,0,1, v2=0,-1,1, v3=-1,-1,1

Q: Write v as a linear combination of u1, u2, and u3, if possible. v = (1, 2, 3, 5), u1 = (1, 2, 3, 4),…

A: Consider the given information, v = (1, 2, 3, 5), u1 = (1, 2, 3, 4), u2 = (−1, −2, −3, 4), u3 = (0,…

Q: Which of the following expressions generates an evenly spaced vector x containing 15 values between…

A: x = linspace(x1,x2,n) generates n points row vector which are evenly spaced between x1 and x2 each…

Q: For which values of 2 the following set of vectors are linearly dependent? v, = (2,-4,-) V, =…

A: Given vectors are:

Q: Write v as a linear combination of u₁, ₂, and u3, if possible. (If not possible, enter IMPOSSIBLE.)…

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Q: Which of the following sets of vectors in R³ are linearly dependent? Note. Mark all your choices.…

A: We want to find linear dependent vectors.

Q: Write v as a linear combination of u1, u2, and u3, if possible. 1. u1=(1,1,2,2), u2=(2,3,5,6),…

A: Given: v=0,5,3,0 , u1=1,1,2,2, u2=2,3,5,6 , u3=-3,1,-4,2 To determine: vas a linear combination of…

Q: Write v as a linear combination of u,, u,2, and u,, if possible. (Enter your answer in terms of u,,…

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Q: If v1, ..., V5 are in R' and v3 = 0, then {v, V2, V3, V4, V5} is linearly dependent. %3D

A: Definition used: v1, v2, ..., vk is linearly dependent if there exist numbers α1, α2, ..., αk, not…

Q: write v as a linear combination of u1, u2, u3, if possible. v=(0,5,3,0), u1=(1,1,2,2),…

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