Question: Find a linear mapping (u, v) that maps the unit square to the parallelogram in the xy-plane spanned by the vectors 3, 1 and 1,

Find a linear mapping Φ(u, v) that maps the unit square to the parallelogram in the xy-plane spanned by the vectors 3, −1 and 1, 4 . Then use the Jacobian to find the area of the image of the rectangle R = [0, 4] × [0, 3] under Φ.

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