Question: In each case show that T: R2 R2 is not a linear transformation. (a) T(|x y|T) = [xy 0]T (b) T(|x y|T) = [0

In each case show that T: R2 → R2 is not a linear transformation.
(a) T(|x y|T) = [xy 0]T
(b) T(|x y|T) = [0 y2]T.

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