Give an example of a function ' W R2 ! R such that'.av/ D a'.v/for all a 2 R and all v 2
Chapter 3, Problem 8(choose chapter or problem)
Give an example of a function ' W R2 ! R such that'.av/ D a'.v/for all a 2 R and all v 2 R2 but ' is not linear.[The exercise above and the next exercise show that neither homogeneitynor additivity alone is enough to imply that a function is a linear map.]
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