Let V = {(x,y)r, y E R}, with addition and scalar multiplication defined as u + v = (u1+ V1, U2 + V2) and au = (au1, 2), respectiv where u = (u1, U2) and v = O A. [(2, 3) + (-1, 2)] + (1,1) = (2, 3) + [(-1,2) + (1, 1)] (v1, v2.). V is closed under addition because: O B. (1, 2) + (3, 5) = (4,7) O C.3(u1, U2) = (3u,, 2) E V O D. (1, 2) + (2,5) = (2,5) + (1, 2) O E. (u1, U2) + (v1, V2) = (u1 + V1, , + V2) for all (u1, u2), (V1 , V2) E V Reset Selection
Let V = {(x,y)r, y E R}, with addition and scalar multiplication defined as u + v = (u1+ V1, U2 + V2) and au = (au1, 2), respectiv where u = (u1, U2) and v = O A. [(2, 3) + (-1, 2)] + (1,1) = (2, 3) + [(-1,2) + (1, 1)] (v1, v2.). V is closed under addition because: O B. (1, 2) + (3, 5) = (4,7) O C.3(u1, U2) = (3u,, 2) E V O D. (1, 2) + (2,5) = (2,5) + (1, 2) O E. (u1, U2) + (v1, V2) = (u1 + V1, , + V2) for all (u1, u2), (V1 , V2) E V Reset Selection
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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