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$$$\left[\begin{array}{cc}1 - \lambda & 3\\1 & - \lambda - 1\end{array}\right]$$$ 的行列式
相關計算器: 代數餘子式矩陣計算器
您的輸入
計算 $$$\left|\begin{array}{cc}1 - \lambda & 3\\1 & - \lambda - 1\end{array}\right|$$$。
解答
2x2 矩陣的行列式為 $$$\left|\begin{array}{cc}a & b\\c & d\end{array}\right| = a d - b c$$$。
$$$\left|\begin{array}{cc}1 - \lambda & 3\\1 & - \lambda - 1\end{array}\right| = \left(1 - \lambda\right)\cdot \left(- \lambda - 1\right) - \left(3\right)\cdot \left(1\right) = \lambda^{2} - 4$$$
答案
$$$\left|\begin{array}{cc}1 - \lambda & 3\\1 & - \lambda - 1\end{array}\right| = \lambda^{2} - 4$$$A
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