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Let T: [tex]P_1(R) --> R^2[/tex] be the linear transformation defined by T(a + bx) = (a, a+b).

The reader can verify directly that T^{-1}: [tex]R^2 --> P_1(R)[/tex] is defined by T^{-1}(c, d) = c + (d-c)x. Observe that T^{-1}is also linear.

I am reading my text and it kind of makes sense, but I have no clue how to verify what has been said above. It make sense to reverse everything, and because after the reversal since the inverse doesn't have the element c for the second element in the order pair for [tex]R^2[/tex] then we subtract it from the image of T^{-1}? But I don't feel comfortable with the concept (of this reversal-and subtraction), and I don't know how to verify what has been said.

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# Linear transformation defined by T(a + bx) = (a, a+b)

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