题目内容

设3阶实对称矩阵A的特征值为λ1===1，λ2=2，λ3=-2，α1=(1，-1，1)T是A的属于λ1的一个特征向量．B=A5-4A3+E，其中E为3阶单位矩阵．验证α1是矩阵B的特征向量，并求B的全部特征值的特征向量；

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