Let V be a 4-dimensional vector space, and let B={v1,v2,v3,v4} be a basis for V. Let T: V→V be the linear transformation which satisfies T(v1) =v1+v2, T(v2) =v2+v3, T(v3) =v3+v4, T(v4) =v4+v1. (a) what is the dimension of ker(T)? (b) what is the dimension of T(V)?

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A: Here we can use the composition of function formula to find the required values.

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A: As per guidelines of Bartleby i am supposed to solve on first three part,if you want more solution…

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A: The objective of this question is to find the images of vectors v and u under the composite of two…

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Q: Let V be a vector space, v, u € V, and let T₁ : V → V and T₂ : V → V be linear transformations such…

A: Here we can use the composition of function formula to find the required values.

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