(d) If vector addition is non-standard, then what do additive inverse (or opposite) look like in V? (e) Determine if V is a vector space (Show all properties! If you don't have a vector space, then tell which properties hold and which ones don't!)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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please show all the properties, thank you.

(d) If vector addition is non-standard, then what do additive inverse (or opposite) look
like in V?
(e) Determine if V is a vector space (Show all properties! If you don't have a vector
space, then tell which properties hold and which ones don't!)
Transcribed Image Text:(d) If vector addition is non-standard, then what do additive inverse (or opposite) look like in V? (e) Determine if V is a vector space (Show all properties! If you don't have a vector space, then tell which properties hold and which ones don't!)
Let V = R? with the following vector addition and scalar multiplication:
[X1 + y1 - 3
X2 + y2
图
X1
%3D
[cx2
Transcribed Image Text:Let V = R? with the following vector addition and scalar multiplication: [X1 + y1 - 3 X2 + y2 图 X1 %3D [cx2
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For par (d):

To find the additive inverse in V.

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