(2i=1 αix Zi=1 f(Σ+1 aix; ) = Σ+1 af(x;) * True False Any finite dimension vector space with dim(X) is equal to nis isomorphism with F O True False

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 38E: Determine whether the set R2 with the operations (x1,y1)+(x2,y2)=(x1x2,y1y2) and c(x1,y1)=(cx1,cy1)...
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!
If f(Σ=1a;x; ) =
f(Σ+1 aix; ) = Σ+1 af(x;)
True
O False
*
Any finite dimension vector space with dim(X) is equal to
n is isomorphism with F
dows bami
True
False
Σ=1a;f(x;) then
There exist two method of direct
sum of any two sub space of vector
space
True
O False
Transcribed Image Text:! If f(Σ=1a;x; ) = f(Σ+1 aix; ) = Σ+1 af(x;) True O False * Any finite dimension vector space with dim(X) is equal to n is isomorphism with F dows bami True False Σ=1a;f(x;) then There exist two method of direct sum of any two sub space of vector space True O False
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