nilai x yang memenuhi matriks (3 -4) (-4 2) (x y)=(3 6) matriks

maaf kalau salah kak

Kelas : X SMA
Mapel : Matematika Wajib
Bab : Matriks
Indikator : SPLDV Metode Matriks

Langkah Penyelesaian dan Jawaban :

[tex] \left[\begin{array}{ccc}3&-4\\-4&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}3\\6\end{array}\right] \\ \\ det \left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad - bc \\\\ det \left[\begin{array}{ccc}3&-4\\- 4&2\end{array}\right] = - 10 \\\\ det \left[\begin{array}{ccc}3&-4\\6&2\end{array}\right] = 30 \\\\ x = \frac{30}{- 10} = - \frac{30}{10} = \boxed{- 3} [/tex]

Jika, ingin mencari y, maka :
[tex] \left[\begin{array}{ccc}3&-4\\-4&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}3\\6\end{array}\right] \\ \\ det \left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad - bc \\\\ det \left[\begin{array}{ccc}3&-4\\- 4&2\end{array}\right] = - 10 \\\\ det \left[\begin{array}{ccc}3&3\\-4&6\end{array}\right] = 30 \\\\ y = \frac{30}{- 10} = - \frac{30}{10} = \boxed{- 3}[/tex]