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Asked Mar 18, 2020
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Let {v1, V2} be a basis for the vector space V. Suppose that T : V - V and
T2 : V V are linear transformations satisfying
T1(V1) = V1 – V2
T2(V1) = Vị + 2v2
T(v2) = 2v1 + v2
T2(v2) = V1 – 3v2.
%3D
Determine (T,T1)(v) for an arbitrary vector v in V.
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Let {v1, V2} be a basis for the vector space V. Suppose that T : V - V and T2 : V V are linear transformations satisfying T1(V1) = V1 – V2 T2(V1) = Vị + 2v2 T(v2) = 2v1 + v2 T2(v2) = V1 – 3v2. %3D Determine (T,T1)(v) for an arbitrary vector v in V.

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