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5. (i) Let 7 be a permutation on {1,2,.,n}. The matrix Pr for which pi. = e-(i)• is called the permutation matrix associated with 7, where Pie is the i-th row of Pr and eij = 1 if i = j and 0 otherwise. Let n = 4 and T = (3 2 4 1). Find Pr. (ii) Find the corresponding permutation matrix for the permutation 1 2 3 4 3 4 1 2

5. (i) Let 7 be a permutation on {1,2,.,n}. The matrix Pr for which pi. = e-(i)• is called the permutation matrix associated with 7, where Pie is the i-th row of Pr and eij = 1 if i = j and 0 otherwise. Let n = 4 and T = (3 2 4 1). Find Pr. (ii) Find the corresponding permutation matrix for the permutation 1 2 3 4 3 4 1 2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5. (i) Let 1 be a permutation on {1,2, ...,n}. The matrix P for which pi. = em(i). is called the permutation matrix associated with 7, where Pie is the i-th row of Pr and e;j = 1 if i = j and 0 otherwise. Let n = 4 and T = (3 2 4 1). Find Pr. (ii) Find the corresponding permutation matrix for the permutation %3D 1 2 3 4 3 4 1 2
Transcribed Image Text:5. (i) Let 1 be a permutation on {1,2, ...,n}. The matrix P for which pi. = em(i). is called the permutation matrix associated with 7, where Pie is the i-th row of Pr and e;j = 1 if i = j and 0 otherwise. Let n = 4 and T = (3 2 4 1). Find Pr. (ii) Find the corresponding permutation matrix for the permutation %3D 1 2 3 4 3 4 1 2
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