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Mathematics, 22.03.2021 16:20 lamashermosa23

"g" Let U: R 2 →R 2 be the linear transformation given by U( x )=A x , with A=[ 1 0 5 2 ], and R 2 →R 2 be the linear transformation given by V( x )=B x , with B=[ −1 1 2 1 ]. Suppose T is the transformation that is the composition of these two such that T( x )=U(V( x )). Find the matrix for T −1 . Write your answer in the simplest terms possible.

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