Consider the linear map T: R R defined by 1 T = X 1- =...

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Consider the linear map T: R³ R³ defined by → 1 T = X 1- = Y Z Find the matrix of the map Twith respect to the basis 1 1 1 9 x+y=z x = y + z x+2y3z W2 = , W3 = 1 1 -2 For full credit, you have to explain what you are doing and show some of the important computational steps. Consider the linear map T: R³ R³ defined by → 1 T = X 1- = Y Z Find the matrix of the map Twith respect to the basis 1 1 1 9 x+y=z x = y + z x+2y3z W2 = , W3 = 1 1 -2 For full credit, you have to explain what you are doing and show some of the important computational steps.