On Exact Determination of Eigen Vectors

• 作者: Raghuram Prasad Dasaradhi V. V. Haragopal
• 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: Characteristic Equation MINIMAL Polynomia EIGEN Values EIGEN VECTORS Vander Monde MATRICES JORDAN Reduction
• 年，卷（期）: 2015,（2）
• 页码范围: 46-53
• 页数: 8页
• 分类号: O1

摘要

In this article, we determine the Eigen values and Eigen vectors of a square matrix by a new approach. This considers all the roots with their multiplicities are known, using only the simple matrix multiplication of a vector. This process does not even require matrix inversion.