Please help with A.Thank you. 2. Consider the tournament whose adjacency matrix is0-1 1110 11 0 00 0 0 1 0 01110 01T = |00 0 0 0111 10 10 00 01-11Here, T;j = 1 if player i defeated player j in the tournament.A. Use software of your choice to compute T2, Tª, T³,T16 – this ismost easily accomplished by squaring the matrix successively,rather than by computing the powers individually.B. As you successively square the matrix, the columns should begin toconverge to multiples of each other. What's happening is that thecolumns are converging to multiples of the dominant eigenvector.C. According to the relative values of column entries, how should theparticipants be ranked?D. In part C, did you find that any player who won fewer games wasmore highly ranked than someone who won more games?

Answered: Image /qna-images/answer/1005fb51-523e-41ff-b521-ecf8297a3a77.jpg

2. Consider the tournament whose adjacency matrix is 0- 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 1 1 1 0 0 1 T = |0 %3| 0 0 0 0 1 1 1 1 0 1 0 0 0 0 1 -1 1 Here, Tij = 1 if player i defeated player j in the tournament. A. Use software of your choice to compute T2, T4, T³,T16 – this is most easily accomplished by squaring the matrix successively, rather than by computing the powers individually.

2. Consider the tournament whose adjacency matrix is 0- 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 1 1 1 0 0 1 T = |0 %3| 0 0 0 0 1 1 1 1 0 1 0 0 0 0 1 -1 1 Here, Tij = 1 if player i defeated player j in the tournament. A. Use software of your choice to compute T2, T4, T³,T16 – this is most easily accomplished by squaring the matrix successively, rather than by computing the powers individually.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.7: Applications

Problem 41EQ

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