Consider V = {(2,y) : x, y ≤ R}. Let and ⋆ be operations on this set defined in the following way: (2*1,31) © (2”, Y2) (2x1+x², Y₁ + Y2 − 1) k⋆ (2ª, y) = (2kx, ky − k +1) for k € R. - Show that the set V equipped with operations and is a real vector space. =

Q: f(x) = X-3 15 A) C) for xU for x ≤0 ++D 2 4 6 X 6 X B) D) ←+H NA 67x. -2- 2 4 6 M

A:

Q: Show that R2 =

A: Then, V =Span(S), if every vector in V can be written as a linear combination of elements of S.

Q: b. Show that if f: A-> B is a bijection then |A| = |B| %3D c. Show that f:25 25 given by f(A) = S -…

A: Aa per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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A: Since, we have been asked to solve question-(13) in which our aimis to find the absolute maximum…

Q: Submit through Canvas as indicated. T u = (2,-5) and v= −3i+7j

A:

Q: Give a geometric description of the set of points whose cooridinates satisfy the given condition x^2…

A: Given that a set of points whose coordinates satisfy the given condition

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Q: Example 9. Classify each relation as constant, linear, quadratic, or neither. a) y = x² + 5x + 6 b)…

A: The solution is given below: