Which of the following are always true, and which are not always true? Give reasons for your answers. a. u. v = v .u b. u * v =-(v * u) c. (-u) * v =-(u * v) d. (cu) . v = u . (cv) = c(u . v) (any number c)
Which of the following are always true, and which are not always true? Give reasons for your answers. a. u. v = v .u b. u * v =-(v * u) c. (-u) * v =-(u * v) d. (cu) . v = u . (cv) = c(u . v) (any number c)
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.3: The Field Of Quotients Of An Integral Domain
Problem 6E
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Which of the following are always true, and which are not always true? Give reasons for your answers.
a. u. v = v .u
b. u * v =-(v * u)
c. (-u) * v =-(u * v)
d. (cu) . v = u . (cv) = c(u . v) (any number c)
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