Let Is w a linear combination of the vectors V₁, V₂ and 3? choose 13 -14 -4 --[H], -- [5] -- [13] D = = = " " 6 = If possible, write was a linear combination of the vectors ₁, ₂ and 73. For example, the answer w = 4v₁ +50₂ + 603 would be entered 4v1 + 5v2 + 6v3. If cannot be written as a linear combination of the vectors ₁, 2 and 3, enter DNE. V3

Q: 3. Determine if the sets of vectors given are LI or LD and explain how you know. a) {(3,4),…

A: Here we apply theorems from linearalgebra.

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Q: Given'! I1xl1= 3 Ily 1 X.Y--2 (x-2y) (3x +5y) Sol: 3(4) + 2- 10 19

A: Given:       x=3, y=1, x·y=-2  To find:          x-2y·3x+5y       =x·3x+5y-2y·3x+5y…

Q: Find -3w - 6 (u + 2v) if u = -3j, v = i + 2j, and w=--.Express your answer as a linear combination…

A: The given vectors are:u=-3jv=i+2jw=-13i-73j

Q: Determine whether the following statements are true or false. Justify your answers. (a) When u and…

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Q: 5. i ',, Find the solution space and write it as a linear combination of vectors. - x3 + 5x4 X2 +…

A: Given that x1-x3+5x4=0 x2+4x3-3x4=0

Q: 7. (а) X1 3x2 = 1 2x1 - 6х, — 2 | %3D

A: The solution is given as

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A: Given that:The equation ax+by=c corresponds to the vector ⟨a,b,c⟩. (1).The given vector is:…

Q: (4,6) V2 = (-3, -6) V3 = (-8, 4) V4 = (10, ニ

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Q: There are four vectors (1,2,3), (1,-1,2), (2,4,6) and (2,6,c). If there is a condition in which the…

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Q: Given that write 4 A -4 -5 -2 -57 2 - 3 5 3 61 -3 as a linear combination of the vectors 16 6 5 + [1…

A:

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: Suppose the polynomial ax² + bx + c corresponds to the vector (a, b, c). 2 To what polynomial will…

A: ConclusionIn the context of the given problem, where vectors correspond to the coefficients of a…

Q: x1-3x2 = 1 -8x1-7x2= 1 3x1+2x2 = 4 -10x1-x2 = -2 You can resize a matrix (when appropriate) by…

A: Answer given below.

Q: 01/ Determine if the two vectors are parallel, orthogonal or neither. j = (4,-2,7), i = -37 + j + 2k

A: The given vectors are                                   p→=-3i^+j^+2k^                         and…

Q: Let a = [3, -7] and b = [-5, 11].

A: given that the two vectors a=[3,-7] b=[-5,11] To plot and check which one is greater.

Q: Find u - v, 2(u + 3v), and 2v - u. u = (6, -2, 4, 3), (-2, -1) (a) u - v = (b) 2(u + 3v) = (c) 2v -…

A:

Q: The normal vector of 2x + By - 16.7z = -8 is: ○ [2, 뮤, -16.7, 8) ① [호, 꽃, 16.7, -8] ① [올, 꽃, -16.7]…

A: We have given equation of a plane  92x+133y-16.7z=-8 Comparing this with the equation  lx+my+nz=d We…

Q: Let a₁ = , a₂ = [2] and b = -7° -13 -8 s b a linear combination of a₁ and a₂? OA. b is not a linear…

A:

Q: 6. If If vectors (5,2,-1) × (2,-1, a) = (5,-12,-9) then determine the value of a.

A: Given: 5,2,-1×2,-1,a=5,-12,-9

Q: a. 37-7 3 -=342-6-45,57 b. 7 + 742,tr15.5 (7,-17 =23(2), 3-6)>-c5,67 6-5,-19-5> c. the magnitude and…

A:

Q: Suppose the solution set of a certain system of linear equations can be described as x₁ = 5+ 3x3, x₂…

A: Given,The solution set of a certain system of linear equations can be described as with  free. Aim:…

Q: (d) comp5 (e) projzā

A: Here we want to find component of vector b along the vector a . And  Projection of vector a along…

Q: 3) Which two vectors are perpendicular? a = [-10, -2, -4] 6= [3,-3, 6] = [5, 1, -2]

A:

Q: Orthonormalize the following set of three vectors: {(1, -1, 2), (1, 3, 1), (1, 0, 2)}. Please use…

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Q: Suppose that u₁ and u2 are vectors with ||u₁|| = 2 and ||u2|| = 3. You are also given that u₁ · U₂ =…

A: Given that  and  are vectors such that .Given that  and  for .We need to find  for .We need to…