矩阵可对角化的充要条件及其相似变换矩阵的构造
NECESSARY AND SUFFICIENT CONDITI0NS FOR THEDIAG0NLIZABLITY OF MATRICES AND THECONSTRUCTI0N OF SIMILARITY TRANSFORMATI0NMATRICES
-
摘要: 本文证明了N阶矩阵与对角形矩阵相似的两个充要条件,并提供了一种构造可对角化矩阵的相似变换矩阵的简易方法。Abstract: This paper proves two necessary and sufficient conditions for a matrix to be similarto a diagonal matrix, and provides a simple method for constructing the similaritytransformation matrices of a diagonalizable matrix.