Let f and g be following permutations on the set Ng {1, 2, 3, 4, 5, 6, 7, 8}: 1 2 3 4 7 8 1. 2 3 4 5 6 7 8 f = and 5 6 4 2 8 3 7 1 1 2 6 4 8 7 5 3 a. Evaluate the functions at the given numbers: f (1) = 9(1) - = (fo g) (1) (go f) (1) = f-1 (1) = b. Compute the following permutations: fg = gf = fー1 =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let f and g be following permutations on the set Ng
{1, 2, 3, 4, 5, 6, 7, 8}:
1 2 3
4
7 8
1.
2 3 4 5
6 7 8
f =
and
5 6
4
2
8
3
7 1
1
2
6
4
8
7
5 3
a. Evaluate the functions at the given numbers:
f (1) =
9(1) -
=
(fo g) (1)
(go f) (1) =
f-1 (1) =
b. Compute the following permutations:
fg =
gf =
fー1
=
Transcribed Image Text:Let f and g be following permutations on the set Ng {1, 2, 3, 4, 5, 6, 7, 8}: 1 2 3 4 7 8 1. 2 3 4 5 6 7 8 f = and 5 6 4 2 8 3 7 1 1 2 6 4 8 7 5 3 a. Evaluate the functions at the given numbers: f (1) = 9(1) - = (fo g) (1) (go f) (1) = f-1 (1) = b. Compute the following permutations: fg = gf = fー1 =
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