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Mathematics

OpenStudy (anonymous):

Let T : R2 ! R2 be a linear transformation that transforms the vector ~e1 into [1 3] andthe vector ~e2 into [2 4]. (a) Find the standard matrix of T. (b) Find the image of the vector ~c =[1 2] under T. (c) Find a linear transformation S : R2 -> R2 such that S(T(~x)) = ~x for all ~x (S is called the inverse of T, denoted T^-1).

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