$$$\left[\begin{array}{cc}t & t^{2}\\1 & 2 t\end{array}\right]$$$:n determinantti
Laskin laskee $$$2$$$x$$$2$$$-kokoisen neliömatriisin $$$\left[\begin{array}{cc}t & t^{2}\\1 & 2 t\end{array}\right]$$$ determinantin vaiheittain.
Aiheeseen liittyvä laskin: Kofaktorimatriisilaskin
Syötteesi
Laske $$$\left|\begin{array}{cc}t & t^{2}\\1 & 2 t\end{array}\right|$$$.
Ratkaisu
2x2-matriisin determinantti on $$$\left|\begin{array}{cc}a & b\\c & d\end{array}\right| = a d - b c$$$.
$$$\left|\begin{array}{cc}t & t^{2}\\1 & 2 t\end{array}\right| = \left(t\right)\cdot \left(2 t\right) - \left(t^{2}\right)\cdot \left(1\right) = t^{2}$$$
Vastaus
$$$\left|\begin{array}{cc}t & t^{2}\\1 & 2 t\end{array}\right| = t^{2}$$$A