학술저널
AN EXPLICIT FORM OF POWERS OF A 2 x2 MATRIX USING A RECURSIVE SEQUENCE
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 25, No. 1
-
2012.0219 - 25 (7 pages)
- 6
The purpose of this paper is to derive powers An using a system of recursive sequences for a given 2£2 matrix A. Introduc-ing a recursive sequence we have a quadratic equation. Solutions to this quadratic equation are related with eigenvalues of A. By solv-ing this quadratic equation we can easily obtain an explicit form of An. Our method holds when A is de¯ned not only on the real ¯eld but also on the complex ¯eld.
1. Introduction
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