$$$\left[\begin{array}{cc}9 - \lambda & 2\\2 & 6 - \lambda\end{array}\right]$$$ 的行列式
相关计算器: 代数余子式矩阵计算器
您的输入
计算 $$$\left|\begin{array}{cc}9 - \lambda & 2\\2 & 6 - \lambda\end{array}\right|$$$。
解答
2x2 矩阵的行列式为 $$$\left|\begin{array}{cc}a & b\\c & d\end{array}\right| = a d - b c$$$。
$$$\left|\begin{array}{cc}9 - \lambda & 2\\2 & 6 - \lambda\end{array}\right| = \left(9 - \lambda\right)\cdot \left(6 - \lambda\right) - \left(2\right)\cdot \left(2\right) = \lambda^{2} - 15 \lambda + 50$$$
答案
$$$\left|\begin{array}{cc}9 - \lambda & 2\\2 & 6 - \lambda\end{array}\right| = \left(\lambda - 10\right) \left(\lambda - 5\right)$$$A
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