a T:R' → R2 [c] is given by T 3 (а — ) + (с — b)ӕ + (с — d) 2?. Which d statement about T is correct? O Tis neither one-to-one nor onto O Tis onto but not one-to-one O Tis an isomorphism O Tis one-to-one but not onto

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.2: Ring Homomorphisms
Problem 6E
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a
T:R' → R2 [c] is given by T
3 (а — ) + (с — b)ӕ + (с — d) 2?. Which
d
statement about T is correct?
O Tis neither one-to-one nor onto
O Tis onto but not one-to-one
O Tis an isomorphism
O Tis one-to-one but not onto
Transcribed Image Text:a T:R' → R2 [c] is given by T 3 (а — ) + (с — b)ӕ + (с — d) 2?. Which d statement about T is correct? O Tis neither one-to-one nor onto O Tis onto but not one-to-one O Tis an isomorphism O Tis one-to-one but not onto
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