QUESTION 8 Consider the following 3 permutations in S10: o= 1 2 3 4 5 6 7 8 1 4 5 6 8 10 7 9 9 10 2 3 12 3 4 5 6 2 5 10 4 9 7 2 3 5 6 7 9 10 μ= -(₁ (10 3 8 4 3 2 1 8 8 7 ) 7 8 9 6 3 8 (8.1) Compute ru ¹0. (8.2) Express μ as a product of disjoint cycles and then as a product of transpositions. (8.3) Find the smallest value of n so that "=i, where i is the identity permutation. (8.4) Find 100 10 1 ( (
QUESTION 8 Consider the following 3 permutations in S10: o= 1 2 3 4 5 6 7 8 1 4 5 6 8 10 7 9 9 10 2 3 12 3 4 5 6 2 5 10 4 9 7 2 3 5 6 7 9 10 μ= -(₁ (10 3 8 4 3 2 1 8 8 7 ) 7 8 9 6 3 8 (8.1) Compute ru ¹0. (8.2) Express μ as a product of disjoint cycles and then as a product of transpositions. (8.3) Find the smallest value of n so that "=i, where i is the identity permutation. (8.4) Find 100 10 1 ( (
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 16EQ
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