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Let V = R. For u, v € V and a € R define vector addition by uv:=u+v-2 and scalar multiplication by au := au 2a + 2. It can be shown that (V,B,O) is a vector space over the scalar field R. Find the following: the sum: -2-3 = the scalar multiple: 9-2-18 the zero vector: = the additive inverse of x: 8x =

Let V = R. For u, v € V and a € R define vector addition by uv:=u+v-2 and scalar multiplication by au := au 2a + 2. It can be shown that (V,B,O) is a vector space over the scalar field R. Find the following: the sum: -2-3 = the scalar multiple: 9-2-18 the zero vector: = the additive inverse of x: 8x =

Elementary Linear Algebra (MindTap Course List)
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 € V and a E R define vector addition by u=v:=u+v− 2 and scalar multiplication by au : au - 2a + 2. It can be shown that (V,B,D) is a vector space over the scalar field R. Find the following: the sum: -2-3 = the scalar multiple: 9-2 = -18 the zero vector: Ov = the additive inverse of x: Bx =
Transcribed Image Text:Let V = R. For u, v € V and a E R define vector addition by u=v:=u+v− 2 and scalar multiplication by au : au - 2a + 2. It can be shown that (V,B,D) is a vector space over the scalar field R. Find the following: the sum: -2-3 = the scalar multiple: 9-2 = -18 the zero vector: Ov = the additive inverse of x: Bx =
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