Question: (a) (b) Define the rotation operator of any vector (x, y) in IR2 through an angle 0 and find the image of the vector

(a) (b) Define the rotation operator of any vector (x, y) in

(a) (b) Define the rotation operator of any vector (x, y) in IR2 through an angle 0 and find the image of the vector (3, 1) under a rotation of /3 radiun about the origin. Determine whether the transformation T(x,y) = (x, y) is linear. (c) Determine whether the linear operator T: R2 R2 defined by the equations ->>

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