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试题ID 24476    所属试卷 线性代数二次型基础训练

试题
设 $A =\left[\begin{array}{lll}1 & 2 & 0 \\ 2 & 1 & 0 \\ 0 & 0 & 1\end{array}\right]$ ,则下列矩阵中与 $A$ 合同的是 $(\quad)$ .
$\text{A.}$ $\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right]$ $\text{B.}$ $\left[\begin{array}{ccc}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & -1\end{array}\right]$ $\text{C.}$ $\left[\begin{array}{ccc}1 & 0 & 0 \\ 0 & -1 & 0 \\ 0 & 0 & -1\end{array}\right]$ $\text{D.}$ $\left[\begin{array}{ccc}-1 & 0 & 0 \\ 0 & -1 & 0 \\ 0 & 0 & -1\end{array}\right]$ $\text{E.}$ $\text{F.}$

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