학술저널
THE RELATIONSHIP BETWEEN THE POWERS OF AN INVERTIBLE MATRIX AND THOSE OF ITS INVERSE
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 25, No. 4
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2012.11609 - 615 (7 pages)
- 2
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)).
1. Introduction
2. Proof of the result
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