Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S = {(2, –1, 3), (5, 0, 4)} (a) z = (-1, -2, 2) Z = S2 (b) v = ( 23, 75 V = S1 + S2 (c) w = (2, -6, 10) )s, • (| w = S1 S2 (d) u = (3, 1, –1) u = |S1 + S2

Q: If possible, write the vector w as a linear combination of the vectors V₁, V2, ..., Vk. If it is not…

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Q: Find the initial point of the vector that is equivalent to u = (2, 2, 4) and whose terminal point is…

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Q: The zero vector 0 (0, 0, 0) can be written as a linear combination of the vectors V1, V2, and v3…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: A vector u can be written as linear combination of the set of vectors S={v,w} iff there exist…

Q: Determine if the vectors are Linearly Independent or Linearly Dependent. -2 [1 -5 =|2.X2) = -3 ,x6)…

A: A set of n vectors of length n is linearly independent if the matrix with these vectors as columns…

Q: Which option is the right? Two vectors are linearly dependent if: -They have the same address -They…

A: Two vector are linearly dependent if in linear combination of v1 and v2 , not all scalar are zero

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: Let w = (-5, -7, -2), v1 = (2, 1, 1), ö2= (-2, -2, -1), 03 = (-5, –3, -2). If possible, express w as…

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Q: Which of the following vectors is the scalar multiple of z-(4, 3, -2) ? Ou- (-28, -21, -14) Ou-(-24,…

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Q: Make sure the vector 7 = (8,3, 1) iş a linear combination of vf = (-5, 2, 1) , v = (-1, 4, 2) and vg…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Given

Q: Determine if the vectors , and are linearly independent.

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Q: (a) Write the vector w (1, 1, 1) as a linear combination of vectors in the set S given by S=…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: If possible, write the vector w as a linear combination of the vectors V₁, V2, ..., Vk. If it is not…

A: a) Given:     w=1,1,5, v1=7,7,7      v2=2,5,3, v3=4,1,-1 w=i^+j^+5k^, v1=7i^+7j^+7k^…

Q: Express the vector in the form ai + bj + ck. 2) 8u - 5v if u = (1, 1, 0 ) and v = (3, 0, 1) A) v =…

A: u = <1,1,0> v= <3,0,1> We have to find 8u -5v

Q: 2) Determine whether the (7, 9, 15) vector is a linear combination of the (1,1 ,2 ),( 1,2,1 ).( 2,3…

A: see 2nd and 3rd step.

Q: Find two vectors ?⎯⎯⎯1v¯1 and ?⎯⎯⎯2v¯2 whose sum is ⟨2,−5,3⟩⟨2,−5,3⟩, where ?⎯⎯⎯1v¯1 is parallel to…

A: We have to find v1 and V2 vector.

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOS S =…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: 11. For what value(s) of r (if any) is the vector (-2, 14, r) a linear combination of the vectors…

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Q: Let v1 = [1, 1, 0, 2], v2 = [0, 1, 2, 3], V3 = [-1, 0, 2, 1], V4 = [ 3, 1, -4, O] and b = [4, 3, -2,…

A: According to the given information, it is required to find the solutions to the vector equation.

Q: Which two vectors are orthogonal if given a =,b = and c =

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Q: ite each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) S=…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: we will write the given vector as linear combination of vectors in as and find the unknown…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Consider c1, c2 are constants such that z=c1s1+c2s2. Substitute the values of z, s1, s2 in the…

Q: Determine if the vectors vị = (1, –1,3, –1), v2 = (1, –-1, 4, 2), v3 = (1, –1,5, 7) are linearly…

A: We have to determined the vectors v1=(1, -1, 3, -1), v2=(1, -1, 4, 2), v3=(1, -1, 5, 7) are linearly…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Linear Combination

Q: Vrite each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: 1. For what value(s) of r (if any) is the vector (-2, 14, r) a linear combination of the vectors (2,…

A: We need to find r.

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v., v, and v…

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Q: The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v,, va, and v,…

A: Please see the below picture for detailed solution.

Q: () Let a = -2 and b= 1 be two vectors. What is |a|2|b|? - |a - b|² ?

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Q: (a) Let w =(-5,-17,7), v 1=(0,-1,1), v² 2=(0,-2,1), v 3=(1,2,-1). If possible, express w as a linear…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 7) Determine whether the sets of vectors are linearly independent. а) {(-1, 2, 4)), (5, -10, -20);…

A: According to Bartleby guidelines I am supposed to do only first two questions . Kindly post next one…

Q: If vectors u =(3, 3), v=( 13. -7), and 2w +3u-v=(4,-4) what is the coordinate of vector w?

A: The given vectors are: And, Let the coordinates of vector w be, Substitute the coordinates in…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Given S=2, -1, 3, 5, 0, 4       Solution:- Any vector as a linear combination of vectors S1=2, -1, 3…

Q: Show that the vectors V, =(1, 1, 2, 4 ), V2 = ( 2, -1, -5, 2 ), V3 = (1, -1, -4, 0 ) and V, =(2, 1,…

A: Sind the determinant of the matrix whose rows are given vectors

Q: 24. Write a vector (-3, 22, -3) as a linear combination of the vectors (-1, 2, 3) and (0, 4, -3).

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: 1. Are the vectors (-3, 0, 4), (5, -1, 2) and (1, 1, 3) linearly dependent in R3? a. Yes b. No

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Given: S=2, -1, 3, 5, 0, 4 And the vectors: a z=5, -5, 11b v=13, -14, 434c w=3, -9, 15d u=1, 1, -1…