Question: I need help with this question: Prove that there exists a linear transformation T : R 2 R 3 such that T(1, 1) = (1,

I need help with this question:

Prove that there exists a linear transformation T : R2 R3 such that T(1, 1) = (1, 0, 2) and T(2, 3) = (1, 1, 4). What is T(8, 11)?

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