The following permutation are given in cycle notation. Find their order. (a) f = (1, 2, 3)(4, 5, 7, 6) (b) g = (1, 5, 6, 8, 7)(3, 8, 5, 1, 4, 7)

Q: Find the first three terms of the expansion (4 – 2x)°. a. 45(1+ 쪽+ +…) O b. 4(1- + O c. 2°(1+ % + +…

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Q: Find the mode of the data in the following lists. (If there is more than one mode, enter your…

A: We will create a frequency distribution table first and then look for the observation that has the…

Q: (12 3 4) o (2 3 5 4 6) o (3 4 5 6) can be expressed as product of following disjoint cycles Select…

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Q: Simplify: -3i(4 + 2i)

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Q: QUESTION 12 Given a = (1 3 5 6 7)(2 3 5 6 7) in Sg. a) (3) Write a as a cycie or a product of…

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Q: 4 Let f = (4 5 6) and g = (1984) (275) (36) be two permutations in S9. (a) Compute fogo f-1, and…

A: Let       given cycles f and g from S9 .

Q: D(-4, 3), E(-2, 3), F(-1, 1), G(-4, 1) 11) and L(1, –1), M(3, –1), N(6, –3), P(1,–3)

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Q: (с) (1 3)" (2 4)(2 3 5)

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Q: Question 5 Find the inverse of each relation. {(4, 15), (8, 18)} O ((18, 15). (8,4)} none of the…

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Q: Consider the following elements of S7 4 5 6 7 7 3 2 4 1 1 2 3 4 5 6 7 1 2 3 α 5 6 2 1 4 7 3 6 5 (a)…

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Q: The permutations P = p and q in So have the two-line symbols 1 2 3 4 5 6 15 2 3 4 6 1 2 3 4 5 6 4 6…

A: We can find the given permutations in cycle form and order.

Q: Determine the intervals of continuity for the following function. AY 5- 4- 3- 2- 14 0+ 1. 2 3 4 6. 5

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Q: If A = {2,3} and B = {x|x EZ, x<3}, then A x B = Select one: O a. {(1,2), (1, 3), (2, 2), (2,3)} O…

A: If A=2, 3 and B=x x∈Z+, x&lt;3, then to determine A×B.

Q: f = (54)(71 8 5) %3D (a) Write the permutation f4 as a product of disjoint cycles, separated by…

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Q: (12 3 4) o (2 3 5 4 6) o (3 4 5 6) can be expressed as product of following disjoint cycles O None…

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Q: G3 3 5 O (S, C, B, A, S) O (S, G, D, H, S) A OIS DEB SI 5 E 7 4 7 10 S 11 All are cycles of length…

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Q: (12 3 4) o (2 3 5 4 6) o (3 4 5 6) can be expressed as product of following disjoint cycles Select…

A: To express in disjoint cycles start from right and then go through left to right.

Q: Example 7.7 Find the (a) first, (b) second, (c) third and (d) fourth moments for the set of numbers…

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Q: 2 3 4 5 6 7 2 7 1 5 3 1

A: Here given permutation as 12345676271534

Q: *Pivd the general Seltion to the

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Q: The permutations p= p and q in So have the two-line symbols 1 2 3 4 5 6 15 2 3 4 6 1 2 3 4 5 6 4 6 2…

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Q: -2 1 -1 2. Let A -2 0 4 1 5050 96 5 4 -61-2 9 1 -9 Find the rank A and the dim Nul A.

A: (2).rank A=3 and dim Null(A)=2Explanation:

Q: When we assess X1 as a predictor of Y, there are several ways in which we can add a third variable…

A: Partial correlation: Partial correlation measures the strength of association between any two…

Q: 1 2 2 3 4 5 6 7 8 2 1 6 3 5 7 8 4 2 1

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Q: Find an explicit formula for s, if so = 1 and %3D Sn =2+2s0 + 2s1 +... +2s, 2+ Sn-1, Vn >1.

A: Generating Functions for a sequence a0, a1,a2,………an,……………… is an infinite series of the form ,…

Q: Describe all extensions of the identity map of ℚ to an isomorphism mapping ℚ(3rd root of 2) onto a…

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Q: (12) (13) (14) (15), (123) (234) (345),

A: This is a multiple questions.

Q: (1 374 6) o (2 3 5 4 6) o (8 7 6 2 4 3 5) can be expressed as product of following disjoint cycles…

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Q: Determine whether ^- [¦ ¦ ¯1]- » - [8]), ~ - (-¹ ¹ ] b W b is in col(A). b is not in col(A).…

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Q: The inversion for the following rank is : 4. 2 3 1 6.

A: We have to find inversion of rank

Q: 2 3 4 5 6. f = 1 (i 43 5 2 6) (a) Write the permutation f' as a product of disjoint cycles,…

A: We can calculate the permutation of f7 from right to left then take the LCM of disjoint cycle

Q: 2 – 17 - 1 0 11 1 1 2 B = |2 3 A = 11 7 4 -3 3 -2 6 -5 which is true Select one: a. A and B are…

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Q: Find all the conjugacy classes of D4.

A: We have to find conjugacy Classes of the Dihedral Group, D4