1. Mathematics
2. Algebra
3. Linear Algebra
4. 3053

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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.