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(au1, 2). respectivel Let V = {(r,y)|r,y E R}, with addition and scalar multiplication defined as u + v = (u+v1, U2 + v2) and au = where u (u1, U2) and v = (v1, v2) and scalars a. Which of the following is true? O A. k(lu) = (kl)u and 1u = u for all u e V %3D O B. (0,0) is the zero of V and (kl)u = k(lu) for all scalars k, l and u e V 13D O C. Addition is associative and k(u + v) = ku + kv for all u, v E V and for all scalars k O D. 3(u + v) = 3u + 3v and the negative of (-2, 3) is (2, -3) %3D O E. k(u + v) = ku+ kv for u, v E V and scalar k, and addition is commutative Reset Selection

(au1, 2). respectivel Let V = {(r,y)|r,y E R}, with addition and scalar multiplication defined as u + v = (u+v1, U2 + v2) and au = where u (u1, U2) and v = (v1, v2) and scalars a. Which of the following is true? O A. k(lu) = (kl)u and 1u = u for all u e V %3D O B. (0,0) is the zero of V and (kl)u = k(lu) for all scalars k, l and u e V 13D O C. Addition is associative and k(u + v) = ku + kv for all u, v E V and for all scalars k O D. 3(u + v) = 3u + 3v and the negative of (-2, 3) is (2, -3) %3D O E. k(u + v) = ku+ kv for u, v E V and scalar k, and addition is commutative Reset Selection

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.1: Vector In R^n
Problem 61E: Illustrate properties 110 of Theorem 4.2 for u=(2,1,3,6), v=(1,4,0,1), w=(3,0,2,0), c=5, and d=2....
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(u1 + v1, U2 + v2) and au = (au1, 2), respectively. Let V = {(T,y)r, Y ER}, with addition and scalar multiplication defined as u + v = (u1, U2) and v = (v1, V2) and scalars a. Which of the following is true? where u = O A. k(lu) = (kl)u and 1u = u for all E V O B. (0,0) is the zero of V and (kl)u = k(lu) for all scalars k, l and u E V || O C. Addition is associative and k(u + v) ku + kv for all u, v E V and for all scalars k O D. 3(u + v) : 3u + 3v and the negative of (-2, 3) is (2, –3) O E. k(u + v) = ku + kv for u, v E V and scalar k, and addition is commutative Reset Selection
Transcribed Image Text:(u1 + v1, U2 + v2) and au = (au1, 2), respectively. Let V = {(T,y)r, Y ER}, with addition and scalar multiplication defined as u + v = (u1, U2) and v = (v1, V2) and scalars a. Which of the following is true? where u = O A. k(lu) = (kl)u and 1u = u for all E V O B. (0,0) is the zero of V and (kl)u = k(lu) for all scalars k, l and u E V || O C. Addition is associative and k(u + v) ku + kv for all u, v E V and for all scalars k O D. 3(u + v) : 3u + 3v and the negative of (-2, 3) is (2, –3) O E. k(u + v) = ku + kv for u, v E V and scalar k, and addition is commutative Reset Selection
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