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$$$\left[\begin{array}{cc}8 - \lambda & 8\\8 & 8 - \lambda\end{array}\right]$$$ 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 $$$\left|\begin{array}{cc}8 - \lambda & 8\\8 & 8 - \lambda\end{array}\right|$$$。
解答
2x2 矩阵的行列式为 $$$\left|\begin{array}{cc}a & b\\c & d\end{array}\right| = a d - b c$$$。
$$$\left|\begin{array}{cc}8 - \lambda & 8\\8 & 8 - \lambda\end{array}\right| = \left(8 - \lambda\right)\cdot \left(8 - \lambda\right) - \left(8\right)\cdot \left(8\right) = \lambda^{2} - 16 \lambda$$$
答案
$$$\left|\begin{array}{cc}8 - \lambda & 8\\8 & 8 - \lambda\end{array}\right| = \lambda \left(\lambda - 16\right)$$$A
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