Let A=Mb (f) be the matrix associated with B the linear map_ƒ((x,y,z)=(x − 2y,y+z,0) relative to bases B={u=(1,0,3); v = (0,2,1); w=(2,1,0) } and B'={u'=(0,0, 2) ;v '= (1,0, 3) ;w'= (1,2,1) }. Then the third column of A is: O A. О в. - 1/2 1/2 1/2 the 1/2 - 1/2 1/2

Q: Are these vectors linearly dependent or independent? p1(x) = 1, p2(x) = 1 + x, p3(x) = 1 + x + x^2,…

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Q: (6) Is the following set of four vectors in R4 linearly dependent? S = {(1, 2, 3, 1), (-1, 0, 2, 1),…

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Q: 2) = ( (x, y, z) =

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Q: Let a = (-4, 3, 4) and b = (-5, 2, 3), then find the decomposition a = a +a of a with respect to b a…

A: Ggg

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Q: Given vectors u = (5,0,0), v = (-2,-1,0), and w = (3,7,2), %3D %3D a) Determine if the vectors u, v,…

A: a) u=5,0,0,v=-2,-1,0,w=3,7,2     write it as…

Q: Find a vector that is orthogonal to the triangle with vertices P=(1,0,0), Q= (0,2,0), R=(1,1,1)

A: RECALL: Orthogonal vector:  Let us consider to vectors a→ and b→ then , cross product of a→ and b→…

Q: Consider the matrix attatched and the vector u = (2 0)*. Let B=(A−AT)2 and define vector v = Bu. If…

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Q: Show that v, = (1,0,–1) , v, = (1,0,1) , v3 = (1,1,1) span R’. %3D Express vector v= (4,2, 2) as…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Determine whether the vectors v₁ = (1, 6, 0, 0), v₂ = (0, -1, 0, 1), v3 = (0, 0, 1, 1), and v₁ = (1,…

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Q: 1. Explain why the following form linearly dependent sets of vec- tors. (Solve this problem by…

A: According to our guidelines we can do only one question if multiple question are posted. Please post…

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A: Given:P=3,-5,7v=3,0,1

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A: We have to find the vector equation.

Q: Let S = {v1, v2, v3} be a set of linearly independent vectors in R^3. (a) Are the vectors in the set…

A: Let S = {v1, v2, v3} be a set of linearly independent vectors in R^3. (a) Are the vectors in the set…

Q: Find the projection of u onto v if u= (5,-3), v = (-1,4).

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A: v1 ,v2 ,v3 ,...,vn span R^n if det(v1,v2,...,vn) is non zero