Let L be the linear operator on R2 defined by L(x) = (x1 cos x2 sin , x1 sin + x2 cos )T

Chapter 4, Problem 2

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Let L be the linear operator on R2 defined by L(x) = (x1 cos x2 sin , x1 sin + x2 cos )T Express x1, x2, and L(x) in terms of polar coordinates. Describe geometrically the effect of the linear transformation.

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