THE RELATIONSHIP BETWEEN THE POWERS OF AN INVERTIBLE MATRIX AND THOSE OF ITS INVERSE

• 발행기관: 충청수학회
• 저자명: Mohammed Moucouf
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 25, No. 4, 609~615쪽, 전체 7쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2012.11.30

영문 초록

In the current paper, we establish the relationship be-tween the powers of an invertible matrix and the powers of its in-verse. More precisely, we prove that if A is an invertible matrix and, if An = (Ai;j(n)) for all positive integer n, then A¡n = (Ai;j(¡n)).

목차

1. Introduction

2. Proof of the result