MT 김신휘 Computing J^k where J is a Jordan block


Problem

Let and  .

Find  .

(Citation : Jin Ho Kwak and Sungpyo Hong, 1997, Linear Algebra 334p)

 

Sol)

(Citation : Jin Ho Kwak and Sungpyo Hong, 1997, Linear Algebra 334p)

 

Example

 
J=matrix([[2,1,0,0],[0,2,1,0],[0,0,2,1],[0,0,0,2]])
2
1
J=matrix([[2,1,0,0],[0,2,1,0],[0,0,2,1],[0,0,0,2]])
2
J^11
 
 



Reference

Jin Ho Kwak and Sungpyo Hong, 1997, Linear Algebra, 334p

SKKU Matrix Theory Contents

 
 
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