Question: 4. Let T : R2 - R2 be a linear transformation. It is known that T((1, 2)?) = (1,2) and T((2,5)?) = (6, 15) .

4. Let T : R2 - R2 be a linear transformation. It is known that T((1, 2)?) = (1,2) and T((2,5)?) = (6, 15) . (a) Does T represent a rotation? Explain. (b) Does T' represent a reflection? Explain. (c) Compute T(el) and T(ez). (d) Compute 710((3, 4)"). (Here 710 refers to the composition of T' with itself 10 times.)

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