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 parallelogram in ℝ2 with corner (0, 0) spanned by (1, −1) and (4, 7); T(x) = (3x1 + 4x2, 4x1 + 5x2).
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