Testing for Linear Independence In Exercises 27-40, determine whether the set S is linearly independent or linearly dependent. 39. S= {(0, 0, 0, 1). (0, 0, 1, 1), (0, 1, 1, 1), (1, 1, 1, 1)}

Q: coplanar.

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Q: Let v1 =[1,4,-2] , v2 =[-2,-3,7] , b =[4,1,h] FIND all value(s) h such that b is in span{v1 , v2 }

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Q: Show whether the set {(2, –1, 3), (0, 3, 1), (- 1,1, -2)} in the space R³ is linearly independent.

A: Definition. Let V be a vector space. Vectors v1, v2, . . . ,vk ∈ V are  called linearly dependent if…

Q: Quadrilateral HIJKHIJK has vertices H(−1, 3)H(−1, 3), I(2, 3)I(2, 3), J(2,−1)J(2,−1), and…

A: A dilation is a transformation, with center (0,0) and a scale factor k, non zero, that maps (0,0) to…

Q: (a) Let V be as defined below. 221 -13 -8 4 V = 6 -13 5 -9 {v1,v2,v3,v4}={ { 14, -8, -4, -4, 4}, {…

A: No. V is not linearly independent set because we can see that the number of rows in V are 4 and the…

Q: (3 marks) Let r Є R and u = v ■- (2) - (+) w- () (+), -4 " W = For which values r = R is the set {u,…

A: The vectors are linearly independent for all r except 1. Explanation:

Q: Be F1(x, x, x) e R³ and F2(a, b,0) e R³ a)show that F1 and F2 are subspaces of R b)show that R° = F1…

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Q: Make sure that the set {(-1,1), (3, 0), (2, 5)} generate R4

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