Let V = R2. For (vị , v2), (W1, w2) E V and k ER define vector addition by: (vi, v2) O (W1, w2) := (v +w - 5, v2 + w2) and scalar multiplication by : ko (vi,v2) := (kv - 5k + 5, kvz). It can be shown that (V, . D) is a real vector space (all 10 axioms are true). Computer the following: the sum: (3, 3) (3,-4) =( the scalar multiple: -5 0 (3, 3) =( the zero vector: Oy =( the additive inverse of (x, y): e(x, y) =(
Let V = R2. For (vị , v2), (W1, w2) E V and k ER define vector addition by: (vi, v2) O (W1, w2) := (v +w - 5, v2 + w2) and scalar multiplication by : ko (vi,v2) := (kv - 5k + 5, kvz). It can be shown that (V, . D) is a real vector space (all 10 axioms are true). Computer the following: the sum: (3, 3) (3,-4) =( the scalar multiple: -5 0 (3, 3) =( the zero vector: Oy =( the additive inverse of (x, y): e(x, y) =(
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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