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

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

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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