destineepreuss2406 destineepreuss2406

01-04-2024
Mathematics

contestada

Let W be the union of the first and third quadrants in the
xy-plane. That is, let W = {[xy] : x2 + y2 <= 1}.
(a) If u is in W and c is any scalar, is cu in W? Why?
a) Yes, because scalar multiplication preserves the quadrant.
b) No, because scalar multiplication changes the quadrant.

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