-: (A) Let f: R² →→ R² such that f(x, y) = (x + y.) V(x, y) € R² Is that theker(f) of this function f is subspace or not why?(B)Let X be a normed space show that B(x) is a convex set?1: state and prove L is a normed space?

Answered: Image /qna-images/answer/85545c32-1dd3-413d-a5aa-c6eaf2f55cf6.jpg

Answered: : (A) Let ƒ : R² R² such that f(x, y) =…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.3: Subspaces Of Vector Spaces

Problem 56E: Give an example showing that the union of two subspaces of a vector space V is not necessarily a...

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: (A) Let ƒ : R² R² such that f(x, y) = ker (f) of this function f is subspace or not why? (B)Let X be a normed space show that B(x) is a convex set? - (x + y.) V(x, y) = R² Is that the