\left( \begin{array} { c c } { 1 } & { 2 } \\ { - 1 } & { 5 } \end{array} \right)
Kira Penentu
7
Nilaikan
\left(\begin{matrix}1&2\\-1&5\end{matrix}\right)
Kongsi
Disalin ke papan klip
det(\left(\begin{matrix}1&2\\-1&5\end{matrix}\right))
Cari penentu matriks tersebut.
5-2\left(-1\right)
Untuk matriks 2\times 2 \left(\begin{matrix}a&b\\c&d\end{matrix}\right), penentunya ialah ad-bc.
5-\left(-2\right)
Darabkan 2 kali -1.
7
Tolak -2 daripada 5.
Contoh
Persamaan kuadratik
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometri
4 \sin \theta \cos \theta = 2 \sin \theta
Persamaan linear
y = 3x + 4
Aritmetik
699 * 533
Matriks
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Persamaan serentak
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Pembezaan
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Pengamiran
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Had
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}