matrix representation of a linear transformation T(x,y)=(x+y,x-2y) with respect to basis C={(1,2),(2,1)}

Introduction : In this article, we are discussing matrix representation of a linear transformation and solving a question related to this with explaining every steps.Question (28): Let \(C =\{\left( \begin{array}{l}1\\2\end{array}\right), \left( \begin{array}{l}2\\1\end{array} \right)\}\) be a basis of \(R^2\) and \(T:R^2\rightarrow…

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