# Which of the examples below are linear transformations? For the linear

transformations, write the standard matrix of the transformation. If it's not a linear transformation then give a specific reason why or a counter example. A. Reflection about the line x=1 in R^2. B. Translate Tv: R^2 -> R^2 by a nonzero vector v in R^2. C. T(x) = x^2 in R. D. For each vector v= [a] E R^4 , associate |b| |c| [d] to it the cubic polynomial f(x) = ax^3+bx^2+cx+d. Then consider the transformation T(f) = f', where f'(x) is the derivative.

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