Consider the set U {a + bx a, b = 2 under the polynomial addition and scalar multiplication. Select all the conditions which U does not meet or conclude that Uforms a vector space. For every u, u U‚u} + u} € U - For every U and every scalar À € R, AT E U E There is an element All above conditions are met and U forms a vector space. € U, such that ♂ + = + = for all EU. E

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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{a + bx|a, b = Z} under the polynomial addition and scalar
Consider the set U =
multiplication. Select all the conditions which U does not meet or conclude that Uforms a vector space.
For every u, u
U‚u} + u² € U
For every
EU and every scalar À € R, AT E U
There is an element € U, such that ♂ + t
E
=
All above conditions are met and U forms a vector space.
+
· = for all U.
Transcribed Image Text:{a + bx|a, b = Z} under the polynomial addition and scalar Consider the set U = multiplication. Select all the conditions which U does not meet or conclude that Uforms a vector space. For every u, u U‚u} + u² € U For every EU and every scalar À € R, AT E U There is an element € U, such that ♂ + t E = All above conditions are met and U forms a vector space. + · = for all U.
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