Write α 5 and α 8 as permutations of { 0 , 1 , ...... , 8 } in disjoint cycle form.

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Chapter 6, Problem 60E

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To write:

Write α5 and α8 as permutations of {0,1,......,8} in disjoint cycle form.

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Question 3 over a field K. In this question, MË(K) denotes the set of n × n matrices (a) Suppose that A Є Mn(K) is an invertible matrix. Is it always true that A is equivalent to A-¹? Justify your answer. (b) Let B be given by 8 B = 0 7 7 0 -7 7 Working over the field F2 with 2 elements, compute the rank of B as an element of M2(F2). (c) Let 1 C -1 1 [4] [6] and consider C as an element of M3(Q). Determine the minimal polynomial mc(x) and hence, or otherwise, show that C can not be diagonalised. [7] (d) Show that C in (c) considered as an element of M3(R) can be diagonalised. Write down all the eigenvalues. Show your working. [8]

Answer 2

Question

Chapter 6, Problem 60E

To determine

To write:

Write α5 and α8 as permutations of {0,1,......,8} in disjoint cycle form.

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Check out a sample textbook solution

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Answer 3

Question

Chapter 6, Problem 60E

To determine

To write:

Write α5 and α8 as permutations of {0,1,......,8} in disjoint cycle form.

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Answer 4

Question

Chapter 6, Problem 60E

To determine

To write:

Write α5 and α8 as permutations of {0,1,......,8} in disjoint cycle form.

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Answer 5

Chapter 6, Problem 60E

To determine

To write:

Write α5 and α8 as permutations of {0,1,......,8} in disjoint cycle form.

Answer 6

Chapter 6, Problem 60E

To determine

To write:

Write α5 and α8 as permutations of {0,1,......,8} in disjoint cycle form.

Answer 7

Chapter 6, Problem 60E

To determine

To write:

Write α5 and α8 as permutations of {0,1,......,8} in disjoint cycle form.

Answer 8

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Answer 9

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Answer 10

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Answer 11

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Write α 5 and α 8 as permutations of { 0 , 1 , ...... , 8 } in disjoint cycle form.

Solution Summary: The author explains that lalpha_5=(0) (157842 ), and

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To write:

Write α5 and α8 as permutations of {0,1,......,8} in disjoint cycle form.

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Chapter 6 Solutions

Write α 5 and α 8 as permutations of { 0 , 1 , ...... , 8 } in disjoint cycle form.

Solution Summary: The author explains that lalpha_5=(0) (157842 ), and

Videos

To write: Write α5 and α8 as permutations of {0,1,......,8} in disjoint cycle form.

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Chapter 6 Solutions

To write:

Write α5 and α8 as permutations of {0,1,......,8} in disjoint cycle form.