A function F: R" → R is called an integral for a linear map L if FoL(x) = F(x), i.e F is constant along orbits of L. For example, is an integral for F (*): = x² + y² L(x) = = (-15). Construct (non-trivial) integrals for the following linear map. (a) (39) *. I. L(x) = (²

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