Trace of Positive Integer Power of Real 2 ×2 Matrices

• 作者: Jagdish Pahade Manoj Jha
• 来源期刊: 线性代数与矩阵理论研究进展(英文)
• 学科: 数学
• 关键词: TRACE DETERMINANT MATRIX MULTIPLICATION
• 年，卷（期）: 2015,（4）
• 页码范围: 150-155
• 页数: 6页
• 分类号: O1

摘要

The purpose of this paper is to discuss the theorems for the trace of any positive integer power of 2 × 2 real matrix. We obtain a new formula to compute trace of any positive integer power of 2 × 2 real matrix A, in the terms of Trace of A (TrA) and Determinant of A (DetA), which are based on definition of trace of matrix and multiplication of the matrixn times, where n is positive integer and this formula gives some corollary for TrAn when TrA or DetA are zero.