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    Transformation matrix in vector calculus

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    Section 6.1 The Geometry of Maps from R^2 to R^2.
    Please see the attached pdf. file.

    Let D* be the parallelogram with vertices...Find a T such that D is the image set of D* under T.

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    Solution Preview

    The solution is attached.

    We need to find a map that takes the points to the points respectively.

    However, it turns out to be much smarter to work in the opposite direction first - namely to find the linear ...

    Solution Summary

    The solution provides an example of finding a transformation matrix for a given situation.