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Determinanten av $$$\left[\begin{array}{c}- a^{2} g^{2} h^{2} m^{2} n^{2} r^{2} s^{2} t^{4} e^{2 e i n o r s^{2}} - \lambda\end{array}\right]$$$
Relaterad kalkylator: Kalkylator för kofaktormatris
Din inmatning
Beräkna $$$\left|\begin{array}{c}- a^{2} g^{2} h^{2} m^{2} n^{2} r^{2} s^{2} t^{4} e^{2 e i n o r s^{2}} - \lambda\end{array}\right|$$$.
Lösning
Determinanten för en 1x1-matris är $$$\left|\begin{array}{c}a\end{array}\right| = a$$$.
$$$\left|\begin{array}{c}- a^{2} g^{2} h^{2} m^{2} n^{2} r^{2} s^{2} t^{4} e^{2 e i n o r s^{2}} - \lambda\end{array}\right| = - a^{2} g^{2} h^{2} m^{2} n^{2} r^{2} s^{2} t^{4} e^{2 e i n o r s^{2}} - \lambda$$$
Svar
$$$\left|\begin{array}{c}- a^{2} g^{2} h^{2} m^{2} n^{2} r^{2} s^{2} t^{4} e^{2 e i n o r s^{2}} - \lambda\end{array}\right| = - a^{2} g^{2} h^{2} m^{2} n^{2} r^{2} s^{2} t^{4} e^{2 e i n o r s^{2}} - \lambda$$$A