Let L be the linear operator on R2 defined by L(x) = (x1) cos - x2

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