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Transformationshard
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Let TTT be a linear transformation defined by T(x,y)=(4x+3y,2x+y)T(x, y) = (4x + 3y, 2x + y)T(x,y)=(4x+3y,2x+y). What is the area of the image of the parallelogram defined by the vectors u⃗=⟨1,0⟩\vec{u} = \langle 1, 0 \rangleu=⟨1,0⟩ and v⃗=⟨1,2⟩\vec{v} = \langle 1, 2 \ranglev=⟨1,2⟩?