Question: 8. Prove that T: R3 - R' defined by T(x, y, 2) = (x + 2, 3y) is not linear. 9. Prove that T: R3

8. Prove that T: R3 - R' defined by T(x, y, 2) = (x + 2, 3y) is not linear. 9. Prove that T: R3 - R3 defined by T(x, y, z) = (0, 0, 2) is linear. Then find the standard matrix of the transformation

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