Linear Algebra help?

Posted on 2016-02-25 19:15:00 in Math by FINN

Consider the transformation Rθ : R2 → R2 that takes a vector on the plane and rotates it counterclockwise 
by a fixed angle θ. Arguing geometrically, explain why T is a linear transformation. Then find the matrix of T (in terms of the angle θ). Is this transformation one-to-one or onto? Justify your answer geometrically. 

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