Determinan dari $$$\left[\begin{array}{cc}1 - \lambda & 1\\1 & 1 - \lambda\end{array}\right]$$$
Kalkulator terkait: Kalkulator Matriks Kofaktor
Masukan Anda
Hitung $$$\left|\begin{array}{cc}1 - \lambda & 1\\1 & 1 - \lambda\end{array}\right|$$$.
Solusi
Determinan matriks 2x2 adalah $$$\left|\begin{array}{cc}a & b\\c & d\end{array}\right| = a d - b c$$$.
$$$\left|\begin{array}{cc}1 - \lambda & 1\\1 & 1 - \lambda\end{array}\right| = \left(1 - \lambda\right)\cdot \left(1 - \lambda\right) - \left(1\right)\cdot \left(1\right) = \lambda^{2} - 2 \lambda$$$
Jawaban
$$$\left|\begin{array}{cc}1 - \lambda & 1\\1 & 1 - \lambda\end{array}\right| = \lambda \left(\lambda - 2\right)$$$A
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