Determine the matrix of the transformation, Algebra

Consider the linear transformation 2191_Determine the matrix of the transformation.png 
 
(a)  Find the image of (3 , -2 , 3) 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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