Let x0 be a nonzero column vector in R2, and suppose that T : R2R2 is the transformation

Chapter 4, Problem 39

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Let x0 be a nonzero column vector in R2, and suppose that T : R2R2 is the transformation defined by the formula T (x) = x0 + Rx, where R is the standard matrix of the rotation of R2 about the origin through the angle . Give a geometric description of this transformation. Is it a matrix transformation? Explain.

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