Let T be the triangle with vertices (x1, y1), (x2, y2), and (x3, y3), and let Let

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Let T be the triangle with vertices (x1, y1), (x2, y2), and (x3, y3), and let
A %3D c d

Let ( be the matrix transformation defined by ((v) = Av for a vector v in R2. First, compute the vertices of ((T) and the image of T under (, and then show that the area of ((T) is | det(A)| ( area of T.

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