how that the set S={(1,2,1),(3,1,5),(3,-4,7)}  is linearly dependent where, S⊆V\index{3}(R).

Q: Determine whether the set in P_2 is linearly independent.    S={x^2 , +1, 2 - 1, 2}

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Q: If {x, y} and {z, w} are both linearly independent sets in R^n, then {x, y, z, w} is also linearly…

A: Answer

Q: Let 2 v = w = and 0 = 3 Which of the following sets are linearly dependent? Select all that apply.…

A: Solution:Given vectors are      v→=203     ,  w→=111   ,  0→=000

Q: Show that the list of vectors {r + 2, x² + 2, x³ – 3, x4 – x² + 1} is a linearly independent set of…

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Q: Let u = (2, 3, 1), v = (1, 3, 0), and w = (2, -3, 3). Since (1/2)u -(2/3)v - (1/6)w = (0, 0, 0), can…

A: A set of vectors u1, u2, ……, un is said to be linearly independent if c1u1+c2u2+……+cnun=0 implies…

Q: Let B={(1,-2,1), (4,-7,5), (5,-8,8)], and x=(-6,10,-7) Find [x]B

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Q: 7 Determine whether the set {1, x, x²} is linearly dependent or in- dependent in R (Justify your…

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Q: Find the transitive closure of R={(0,1),(0,2),(1,1), (1,3),(2,2),(3,0)}

A: Given relation is                              R=(0, 1), (0, 2), (1, 1), (1, 3), (2, 2), (3, 0) we…

Q: Is the set S linearly independent? Yes No

A: We have to find

Q: 5- Suppose that A = {x1 = (3,1,2), x2 = (0,0,2), x3 = (2,0,1)} then [A] = R³, that means for every…

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Q: 8.) Find a vectorx such that 5x-2v=2(u-5x) SOLUTION

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Q: Q4) Determine whether the set S is linearly independent or linearly dependent a) S = {(2,1,–2),…

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Q: Verify that the set <v1, v2, . . . , vn> defined in Example 7 is a subspace.

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Q: Let T (V₁, V2, V3) w = (4, 1, −1). = (2v1 + V2, 2v2 − 3v₁, V₁ — V3). Find T(–4,5,1) and pre-image of

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Q: 9. S = {(6,2, 1), (–1,3, 2)} is: linearly independent set of R³. b. a linearly dependent set of R³.…

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Q: Express the Vector x as a linear combination of the U's U₁ Gl , 02 [1] ·16

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Q: Suppose that {u, v} is a linearly independent set. Show that the set {u – v, u + v} is also linearly…

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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…

Q: Find the projection projuv, where u = (1,3,-2) and v = (2,-1,3).

A: Since we kow that the projection of v on u is given by                projuv=u.v||u||2u

Q: Show that S = 2 is a linearly independent set in R³.

A: Given:     S = 121 , 011 , 201   To show that S is linearly independent set in R3

Q: Show that (5,0,3) is in the span of S= {(1,1,0), (1,0,1), (1,1,1)}.

A: