At least one of the answers above is NOT correct. Let V = (7,∞). For u, v Є V and a Є R define vector addition by u = v := uv − 7(u + v) + 56 and scalar multiplication by a u := (u − 7) ª + 7. It can be shown that (V, Œ, □) is a vector space over the scalar field R. Find the following: the sum: 8田9= = 9 the scalar multiple: -1 8 = 8 the additive inverse of 8: 日8 63 the zero vector: Ων 8 the additive inverse of x: 1 Ac +7 x-7
At least one of the answers above is NOT correct. Let V = (7,∞). For u, v Є V and a Є R define vector addition by u = v := uv − 7(u + v) + 56 and scalar multiplication by a u := (u − 7) ª + 7. It can be shown that (V, Œ, □) is a vector space over the scalar field R. Find the following: the sum: 8田9= = 9 the scalar multiple: -1 8 = 8 the additive inverse of 8: 日8 63 the zero vector: Ων 8 the additive inverse of x: 1 Ac +7 x-7
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 69E: Find a basis for R2 that includes the vector (2,2).
Question

Transcribed Image Text:At least one of the answers above is NOT correct.
Let V = (7,∞). For u, v Є V and a Є R define vector addition by u = v := uv − 7(u + v) + 56 and scalar
multiplication by a u := (u − 7) ª + 7. It can be shown that (V, Œ, □) is a vector space over the scalar field R. Find
the following:
the sum:
8田9=
=
9
the scalar multiple:
-1 8 =
8
the additive inverse of 8:
日8 63
the zero vector:
Ων
8
the additive inverse of x:
1
Ac
+7
x-7
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