Let B = {v1, vV2, V3, V4} be a basis for R4. Let T: R4 → R be the linear transformation such that on the basis vectors v1, V2, V3, V4, its values are: T(v1) = 2v1 -2v2 +2v3 +3v4 T(v2) = 6v1 T(v3) : T(v4) = +3v3 V1 -V2 +V4 V1 +2v2 +v3 -2v4 (e) Compute the trace of the linear operator T. (f) Compute the kernel of the linear operator T w.r.t. basis B.

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