4) Consider the following three vector spaces with corresponding basis: V₁ =R³ B₁ = {¤₁, €2, €3} B₂ = {1,t, t²} V₂ =R[t]

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4 Consider The Following Three Vector Spaces With Corresponding Basis V R B 2 3 B 1 T T V R T 1 (76.87 KiB) Viewed 43 times

4) Consider the following three vector spaces with corresponding basis: V₁ =R³ B₁ = {¤₁, €2, €3} B₂ = {1,t, t²} V₂ =R[t]<2 V3 = M2x2 (R) B3 = ( ) ( ) ( ) ( ) Now consider the following two linear transformations: (a) (1 point) Compute [T]³³² a T() = T(b)=a+b-ct + at² S(a + a₁ + a₂t²) = ao-a₂ a1 ao + a₁ a₂