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Let the linear transformation T: R R2 be defined by T(T1, T2, T3) = (1 + I2, I2 + 3) (a) Find the standard

Let the linear transformation T: R R2 be defined by T(T1, T2, T3) = (1 + I2, I2 + 3) (a) Find the standard matrix of T. (b) Determine whether T is (i) one-to-one and (ii) onto. Justify your answer.

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