第1章 矩阵运算与矩阵分解_3(16)

矩阵论与数值分析

1 and

E A 1 2 1 2 1, 3 22

2 1 0 row elementary operations 2 1 0 E A 4 2 0 1 0 1 . 1 0 1 0 0 0 r E A 2,thus the dimension of eigenspace V 1 3 r E A 1 multiplicity 2 of the eigenvaule 1. Therefore A is not diagonalizable.