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Let V = R. For u, v EV and a ER define vector addition by uv := u + v - 3 and scalar multiplication by a □ u := au − 3a + 3. It can be shown that (V, B, □) is a vector space over the scalar field R. Find the following: the sum: -9 B 9 = the scalar multiple: -1 0-9 = the zero vector: 0₁ = the additive inverse of X: 8x =

Let V = R. For u, v EV and a ER define vector addition by uv := u + v - 3 and scalar multiplication by a □ u := au − 3a + 3. It can be shown that (V, B, □) is a vector space over the scalar field R. Find the following: the sum: -9 B 9 = the scalar multiple: -1 0-9 = the zero vector: 0₁ = the additive inverse of X: 8x =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let V = R. For u, v EV and a ER define vector addition by u v : u + v - 3 and scalar multiplication by a □ u := au – 3a + 3. It can be shown that (V,B, □) is a vector space over the scalar field R. Find the following: the sum: -9 B 9 = the scalar multiple: -1 0-9 = the zero vector: 0₁ = the additive inverse of X: 8x =
Transcribed Image Text:Let V = R. For u, v EV and a ER define vector addition by u v : u + v - 3 and scalar multiplication by a □ u := au – 3a + 3. It can be shown that (V,B, □) is a vector space over the scalar field R. Find the following: the sum: -9 B 9 = the scalar multiple: -1 0-9 = the zero vector: 0₁ = the additive inverse of X: 8x =
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