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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.4: Definition Of Function

Problem 55E

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Let s be a subset of a vector space y over a field F. Which of the following is true?
A. If,
А.
a ·u ES
and
a E F
then
U ES.
B. If u Es and a e F, then a · u ɛ S.
C. If u,v€ S.
then
u+vE S•
D. The choices A, B and C are all correct.
E. The choices A, B and C are all incorrect.

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Let y be a vector space over a field r. Which of the following is False:
A. Every vector u in v has a unique inverse.
B. If , and y are in V, then u+v
is in V.
u
C. If u is in v, then +u=u implies u is the zero vector in v.
D.For a.0E F and
u e V, if 0. u=a - u then a=0-

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