Let T be the map from R? to R' given by T(v) = Av, where A = (a) Find T(v), where v = (b) Find the preimage of (-1,2,9) (c) Show that T is a linear transformation. 3(3,-2).

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Q: Define the linear transformation T: R. A = *- [9] dimension of R dimension of RM RM by T(v) = Av.…

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Q: Let T₁: R² → R² and T₂ : R² → R² be linear transformations defined as follows. T₁ T (2)) - [L 3,8₂]…

A: T1x1x2=4x15x1+3x2 and T1x1x2=4x15x1+3x2

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A: Given that:T:ℝ3→ℝ3T1, 0, 0=2, -1, 4T0, 1, 0=-2, 3, 1T0, 0, 1=2, 0, -2To find: T-4, 2, 1

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A: “Since you have posted multiple questions, we will provide the solution only to the first question…

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A: Answer

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A: Given, f: ℝ2→ℝ be a linear transformation.And                  f(3, 6)=3      and   f(5, 9)=1…

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