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    Linear transformation

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    Let L be the linear transformation mapping R2 into itself defined by

    L(x) = (x1*cos alpha - x2*sin alpha, x1*sin alpha + x2 cos alpha)T

    Express x1, x2, and L(x) in terms of polar coordinates. Describe geometrically the effect of the linear transformation.

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    Solution Summary

    The solution shows how to express a linear transformation in polar coordinates.