Help sirrme Let V = R². For (u₁, U2), (v₁, v2) € V and a € R define vector addition by(U₁, U₂) (V₁, V₂) :== (u₁ + v₁+2, u₂+2 − 2) and scalar multiplication bya□ (U₁, U₂) = (au₁ + 2a − 2, auz - 2a + 2). It can be shown that (V,B, ) is a vector spaceover the scalar field R. Find the following:the sum:(6,-5) (-9,3)the scalar multiple:-8 (6,-5) =the zero vector:=Ovthe additive inverse of (x, y):B(x, y) =

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Let V = R². For (u₁, U2), (v1, v2₂) € V and a € R define vector addition by (U1, U2) = (v1, v2) := (u₁ + v₁ + 2, u2+ v2 − 2) and scalar multiplication by a □ (µ₁, U2) := (au₁ + 2a − 2, au₂ − 2a + 2). It can be shown that (V,, ) is a vector space over the scalar field R. Find the following: the sum: (6, −5) = (–9, 3) = the scalar multiple: − 8 □ (6, −5) =) the zero vector: the additive inverse of (x, y): =(x, y) =00)

Let V = R². For (u₁, U2), (v1, v2₂) € V and a € R define vector addition by (U1, U2) = (v1, v2) := (u₁ + v₁ + 2, u2+ v2 − 2) and scalar multiplication by a □ (µ₁, U2) := (au₁ + 2a − 2, au₂ − 2a + 2). It can be shown that (V,, ) is a vector space over the scalar field R. Find the following: the sum: (6, −5) = (–9, 3) = the scalar multiple: − 8 □ (6, −5) =) the zero vector: the additive inverse of (x, y): =(x, y) =00)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.4: Spanning Sets And Linear Independence

Problem 74E: Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors...

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