Show that the set is linearty dependent by finding a nontrivial inear combination of vectors in the set whose sum is the zero vector. (Use , and y, respectively, for the vectors in the set.) S (1, 2, 3, 4). (1, 0, 1, 2). (2, 6, 6, 10)) (0, 0, 0, 0) Express the vector y in the set as a linear combination of the vectors and s.

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A: Here we have a function,we have to find image of v and pre image of w.

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A: Given vectors are u=<u1, u2>=<4, -1>v=<v1, v2>=<2, 8>

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Q: #1: a) Express v = (2,13,6) in R³ as a linear combination of the following vectors vị = (1, 5, – 1),…

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A: Answer is 10.1

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Q: D1 = (12, 3, 9) , ô2 = (12, –15, –15), öz = (-8, 16, 18). Are the vectors1.02 and i3 linearly…

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Q: Use the function to find the image of v and the preimage of w. T(V1, V2) = V2, V1 + V2, 2v, - v2 2…

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Q: 3. Determine if the vectors work. -2 are linearly independent. Show all 0 1

A: Step 1:The given vectors are: ⎣⎢⎡​1−23​⎦⎥⎤​,⎣⎢⎡​111​⎦⎥⎤​ and ⎣⎢⎡​0−11​⎦⎥⎤​ To determine whether the…

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

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A: Hi, thank you for the question. Since you have posted multiple questions, as per our policy we…

Q: Express the vector x as a linear combination of the u's. --0-0-0- 0, U₂5, U3 = -50 Select one: O A.…

A: Two matrices can only be added, if the dimensions of both matrices are the same. When two matrices…