Let V = R. For u, v E V and a ER define vector addition by u H v := u + v – 1 and scalar multiplication by a Ou := au – a + 1. It can be shown that (V,H,D) is a vector space over the scalar field R. Find the following: the sum: 4 H 6 = the scalar multiple: -9 04 =| the zero vector: Oy the additive inverse of æ:

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter4: Vector Spaces
Section4.3: Subspaces Of Vector Spaces
Problem 52E
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Let V = R. For u, v E V and a ER define vector addition by u H v := u + v – 1 and scalar multiplication by a Ou := au – a + 1. It can
be shown that (V,H, 0) is a vector space over the scalar field R. Find the following:
the sum:
4 H 6 =
the scalar multiple:
-9 04=|
the zero vector:
Oy
the additive inverse of æ:
Transcribed Image Text:Let V = R. For u, v E V and a ER define vector addition by u H v := u + v – 1 and scalar multiplication by a Ou := au – a + 1. It can be shown that (V,H, 0) is a vector space over the scalar field R. Find the following: the sum: 4 H 6 = the scalar multiple: -9 04=| the zero vector: Oy the additive inverse of æ:
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