Question: 3. [6 marks] Consider the linear transformation T: R2 - R2 which has T(1, 0) = (1, 1) and T(1, 1) = (1, 2). (a)

3. [6 marks] Consider the linear transformation T: R2 - R2 which has T(1, 0) = (1, 1) and T(1, 1) = (1, 2). (a) Use the fact that T is linear to find the value of T(2, 2). (b) Use the fact that T is linear to find the value of T((1, 1) - (1, 0)). (c) Use your answer to part (b) to find the matrix representing T. (Hint: For this question you will need to use the algebraic definition of linear transformations.)

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