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Please show all steps and write clearly. From Dummit and Foot Section 1.7 3. Show that the additive group R acts on the x, y

Please show all steps and write clearly.

From Dummit and Foot Section 1.7

3. Show that the additive group R acts on the x, y plane R x R by r . (x, y) = (x + ry, y)

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