Suppose T : R^2 → R^2 is a linear transformation that does not alter e_i and which maps e_2 into e_2 + 2e_1, where e_i = (1,0), e_2 = (0,1). Find the transformation matrix T.Justify your answer.

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Suppose T : R^2 → R^2 is a linear transformation that does not alter e_i and
which maps e_2 into e_2 + 2e_1, where e_i = (1,0), e_2 = (0,1). Find the transformation matrix T.Justify your answer.

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