H,please assist with 1.11.21.3 Question 1Let V be the set of all vectors defined by ordered pairs of real numbers (x, y), withthe operations:(x, y) + (x', y') = (x +x + 1,y + y – 1)k(x, y) = (kx, ky).Answer the following questions:1.1) Find the zero vector of V.1.2) Does the vector ū = (x, y) have a negative? Motivate your answer.1.3) Is V a vector space? Motivate your answer.

Answered: Image /qna-images/answer/ef26e459-9d84-4f2c-b45d-0d34e9318b12.jpg

Let V be the set of all vectors defined by ordered pairs of real numbers (r, y), with the operations: (x, y) + (x', y') = (x +x' + 1,y + / – 1) k(x, y) = (kx, ky). %3D Answer the following questions: 1.1) Find the zero vector of V. 1.2) Does the vector ū = (x, y) have a negative? Motivate your answer. 1.3) Is V a vector space? Motivate your answer.

Let V be the set of all vectors defined by ordered pairs of real numbers (r, y), with the operations: (x, y) + (x', y') = (x +x' + 1,y + / – 1) k(x, y) = (kx, ky). %3D Answer the following questions: 1.1) Find the zero vector of V. 1.2) Does the vector ū = (x, y) have a negative? Motivate your answer. 1.3) Is V a vector space? Motivate your answer.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 13CR

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