Determine the matrix of the transformation, Applied Statistics

Consider the linear transformation 1178_linear transformation.png

(a) Find the image of (3 , -2 , 2) under T.
(b) Does the vector (5, 3) belong to the range of T?
(c) Determine the matrix of the transformation.
(d) Is the transformation T onto? Justify your answer
(e) Is the transformation one-to one? Justify your answer

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