Question 2. Let V = R² under the following operations: (x, y) + (x1, Y1) a(x, y) (x +x1, y + Y1 +1) (addition) (ax, ay + a – 1) (scalar multiplication) %3D We showed in lecture that V is a vector space under these operations. Is the set {(1,2), (2,4)} an independent set in V? Justify your answer.
Question 2. Let V = R² under the following operations: (x, y) + (x1, Y1) a(x, y) (x +x1, y + Y1 +1) (addition) (ax, ay + a – 1) (scalar multiplication) %3D We showed in lecture that V is a vector space under these operations. Is the set {(1,2), (2,4)} an independent set in V? Justify your answer.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 37E: Let V be the set of all positive real numbers. Determine whether V is a vector space with the...
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