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设三阶实对称矩阵A的各行元素之和均为3，向量α 1 =(-1，2，-1) T ，α 2 =(0，-1，1) T 是线性方程组AX=0的两个解．(1)求A的特征值与特征向量；(2)求正交矩阵Q和对角矩阵A，使得A T AQ=A；(3)求A及 ，其中E为三阶单位矩阵．
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