Let S = {1,2,3,4} and U = {ƒ € Fun(S) | ƒ(2) − 3ƒ(4) = 0, ƒ(3) = 0} Find a basis of U. Basis(U) = {} Write your basis using characteristic functions, with x1 for x₁, and x2 for X₂ etc.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let S = {1,2,3,4} and U = { ƒ € Fun(S) | ƒ(2) − 3ƒ(4) = 0, ƒ(3) = 0}
Find a basis of U.
Basis (U) = {}
Write your basis using characteristic functions, with x1 for X₁ and x2 for X₂ etc.
Transcribed Image Text:Let S = {1,2,3,4} and U = { ƒ € Fun(S) | ƒ(2) − 3ƒ(4) = 0, ƒ(3) = 0} Find a basis of U. Basis (U) = {} Write your basis using characteristic functions, with x1 for X₁ and x2 for X₂ etc.
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