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<> Subject Test Which of the following functions are the isomorphisms? a) :(Z,+)→(Z,+) defined by o(n)= 2n, for xeZ b) 0:(Q+)→(Q+) defined by $(x) =, for IEQ c) :(Z,+)→(Z, +) defined by (n)=n+1, for reZ d) :(Q.-)→(Q.-) defined by (x)=x, for xeQ Answer OA Oc C.

<> Subject Test Which of the following functions are the isomorphisms? a) :(Z,+)→(Z,+) defined by o(n)= 2n, for xeZ b) 0:(Q+)→(Q+) defined by $(x) =, for IEQ c) :(Z,+)→(Z, +) defined by (n)=n+1, for reZ d) :(Q.-)→(Q.-) defined by (x)=x, for xeQ Answer OA Oc C.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Subject Test Which of the following functions are the isomorphisms? a) :(Z,+)→(Z,+) defined by o(n) = 2n, for xeZ %3D b) :(Q+)→(Q.+) defined by ø(x) =, for IEQ c) :(Z,+)→(Z,+) defined by (n) =n+1, for xeZ d) :(Q.-)→(Q.-) defined by o(x)= x, for xeQ Answer B C.
Transcribed Image Text:Subject Test Which of the following functions are the isomorphisms? a) :(Z,+)→(Z,+) defined by o(n) = 2n, for xeZ %3D b) :(Q+)→(Q.+) defined by ø(x) =, for IEQ c) :(Z,+)→(Z,+) defined by (n) =n+1, for xeZ d) :(Q.-)→(Q.-) defined by o(x)= x, for xeQ Answer B C.
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