Compute the dimension of V,(Tỷ – Tỷ, TẬT, – T†T,) C P³.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.2: Inner Product Spaces
Problem 94E
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part c just

3.
Let X + 0 be a topological space.
a) Show that if {U; | i € I} is a (finite or infinite) open cover of X, then
dim X = supiEJ dim Ui.
b) Compute the dimension of Va(T? – Tỷ, T?T, – TT;) C A³.
c) Compute the dimension of V,(Tỉ – T,TT1 – TT2) C P³.
Transcribed Image Text:3. Let X + 0 be a topological space. a) Show that if {U; | i € I} is a (finite or infinite) open cover of X, then dim X = supiEJ dim Ui. b) Compute the dimension of Va(T? – Tỷ, T?T, – TT;) C A³. c) Compute the dimension of V,(Tỉ – T,TT1 – TT2) C P³.
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