Use the function to find the image of v and the preimage of w. T(V₁ V₂ V3) = (4V₂ - V₁₁ 4V₁ +5√₂), v = (2, -4, -1), w = (1, 17) 1 (a) the image of v (b) the preimage of w (If the vector has an infinite number of solutions, give your answer in terms of the parameter t.)

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A: 3+5= 8

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A: We can find the answer to the question as below.

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A: Since we are given with the multiple number of question and answered according to the guideline

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A: A detailed solution is given below

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A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

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A: Given query is to find the dot product of uv and length of u+v.