. If a permutation 7 = 0102030m where the a,'s are disjoint then the inverse of 7 is 7- = o oj = (i, iz is ... ik-2 ik-1 ik). Find the inverse of each of the following. m-1o.. and o, (i, ix ik-1 ik-2 iz iz) provided (a) (1 32 4) E S4. (b) (1 4 3)(2 5 6 7) e S7. (c) (1 4 3 6)(2 9)(5 7 8) e S9.

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A: We will find -a-b as following.

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Q: Evaluate each of the following for x = 5, 7, 9 and 2. ∑x2 ∑x2 – 5  ∑(x2−5) 2∑x2- 5  2(∑x2- 5) 2)

A: Given:   X = 5, 7, 9, and 2.

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Q: (1) and (.), (.) dz = Find the number of terms in where z = gu, v/ and u

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Q: Let 1 2 3 1 A = | 6 -2 3 and I3 =| 0 1 5 4 1 If 2. is a real number, compute 2I3 – A.

A: A = 1236-23524 I3=100010001

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Q: is called the multiplicative identity. • 0 -1 • 9 • 1

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Q: -100 0 Given A = Find eAt O A. e-100t 2et 5t e nt O B. [ el00t o O eT Oc.re-100t O D. Does not exist

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A: Given: u=5-2i  and  v=2-5iu+v=5-2i + 2-5i         =7-(2+5)i         =7-7iTherefore,   u+v=7-7i

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A: