For the following, (a) find the image of the indicated set under the given linear transformation, and (b) find the area or volume of the image.
P is the parallelepiped with corner (1, 1, 1) spanned by (1, 1, 2), (1, 2, 1), and (2, 1, 1); T(x) = (3x2, −4x1, 5x3).
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