Let V = R. For u, v EV and a E R define vector addition by uvu+v+1 and scalar multiplication by au= au+a - 1. It can be shown that (V, , ) is a vector space over the scalar field R. Find the following: the sum: 18-6= the scalar multiple: 901- the zero vector: Ov the additive inverse of : Bx=

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.2: The Kernewl And Range Of A Linear Transformation
Problem 59E: Let T:R3R3 be the linear transformation that projects u onto v=(2,1,1). (a) Find the rank and...
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Let V = R. For u, v EV and a ER define vector addition by uv := u + v + 1 and scalar multiplication by
au:= au+a - 1. It can be shown that (V, , ) is a vector space over the scalar field R. Find the following:
the sum:
18-6=
the scalar multiple:
91=
the zero vector:
Ov
the additive inverse of
Transcribed Image Text:Let V = R. For u, v EV and a ER define vector addition by uv := u + v + 1 and scalar multiplication by au:= au+a - 1. It can be shown that (V, , ) is a vector space over the scalar field R. Find the following: the sum: 18-6= the scalar multiple: 91= the zero vector: Ov the additive inverse of
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