Consider a basis a = {V, V2,..., Vn} of V. Write matrices [T] for the following...

 

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Consider a basis a = {V₁, V2,..., Vn} of V. Write matrices [T] for the following linear transformations 1. For some 1 <k < n we define: T(a₁v₁ + a₂v2 +. + akvk + + anvn) = a₁v₁ + a₂v₂+.. T(a1v₁ + a2v2 + + anvn) = anv₁ + an-1V₂ + + 1 vn 2. •+akvk Consider a basis a = {V₁, V2,..., Vn} of V. Write matrices [T] for the following linear transformations 1. For some 1 <k < n we define: T(a₁v₁ + a₂v2 +. + akvk + + anvn) = a₁v₁ + a₂v₂+.. T(a1v₁ + a2v2 + + anvn) = anv₁ + an-1V₂ + + 1 vn 2. •+akvk

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