(a) Show that a function f: R1 R1 is an automorphism if and only if it has the form x kx for some k 0.(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) Show that a function f: R1 †’ R1 is an automorphism if and only if it has the form x †’ kx for some k ‰ 0.
(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
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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 ˆˆ R with ad - bc 6= 0.
(d) Let f be an automorphism of R2 with
Find
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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 . Designat…View the full answer
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