(a) Show that a function f: R1 R1 is an automorphism if and only if it has...
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(b) Let f be an automorphism of R1 such that f(3) = 7. Find f(- 2).
(c) Show that a function f: R2 R0 is an automorphism if and only if it has the Form
for some a, b, c, d R with ad - bc 6= 0.
(d) Let f be an automorphism of R2 with
Find
Transcribed Image Text:
ax by cx + dy ーチ 3 mn nl)- f( 1) f (
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a For the only if half let f R 1 R 1 to be an isomorphism Consider the basis 1 R 1 Designate f1 by k ...View the full answer
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