设矩阵阳似于矩阵 (1)求a,b的值; (2)求可逆矩阵P,使P-AP为对角矩阵。

作者: tihaiku 人气: - 评论: 0
问题 设矩阵阳似于矩阵 (1)求a,b的值; (2)求可逆矩阵P,使P-AP为对角矩阵。
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解析 显然可求得B的特征值为1,1,5,从而A的特征值为1,1,5,当A=1时 从而解得属于特征值1的线性无关的特征向量为dl=(2,1,O)Ta2-(3,0,-1)T。同理,解得属于特征值5的特征向量a3=(1,1,一l)T.

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