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试题ID 38684    所属试卷 考研《线性代数》试题严选

试题
设 $\boldsymbol{A}$ 是三阶实对称矩阵,特征值是 $0,1,2$ ,若 $\boldsymbol{B}=\boldsymbol{A}^3-3 \boldsymbol{A}^2+2 \boldsymbol{E}$ ,则与 $\boldsymbol{B}$ 相似的矩阵是
$\text{A.}$ $\left[\begin{array}{lll}1 & & \\ & 3 & \\ & & -1\end{array}\right]$ . $\text{B.}$ $\left[\begin{array}{lll}2 & & \\ & 0 & \\ & & -2\end{array}\right]$ . $\text{C.}$ $\left[\begin{array}{lll}0 & & \\ & 1 & \\ & & 2\end{array}\right]$ . $\text{D.}$ $\left[\begin{array}{lll}2 & & \\ & 2 & \\ & & 6\end{array}\right]$ . $\text{E.}$ $\text{F.}$

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