Question: (6) 4. Suppose 7: R2 - R' is a linear transformation that first rotates points 60 counterclockwise then reflects points through the line y =

(6) 4. Suppose 7: R2 - R' is a linear
(6) 4. Suppose 7: R2 - R' is a linear transformation that first rotates points 60 counterclockwise then reflects points through the line y = -r. (a) Find the standard matrix of T. (b) Find the image of the vector x = (2, -3) under this transformation. (c) Is (0, 1) in the range of 7? If so find x such that T(x) = (0, 1). (d) Is T onto? (e) Is T one-to one

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