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Linear Transformation

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Linear Transformation

. . Let T₁ and T₂ be linear operators on R² defined by Gamma_{1}(x,y)=(y,x) and T_{2}(x,y)=(x,0) Compute T_{1}+T_{2},T_{2}T_{1},T_{1}T_{2},{T_{1}}^{2}T_{2} As~L(R^{angle}) R2 is a vector space, which is closed under addion and scalar A ightarrow(B Sol multiplication T_{1}+T_{2},T_{2}T_{1},T_{1}T_{2},{T_{1}}^{2} {}^{2},{T_{2}}^{2} 1. (T_{1 ...

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