Invers dari matriks A (3, 1, 2, 4) adalah A-1

Kelas: 10
Mapel: Matematika
Kategori: Matriks
Kata kunci: invers matriks
Kode: 10.2.3 (Kelas 10 Matematika Bab 3-Matriks)

Misakan ada matriks A dengan ordo 2×2 (dua baris dan 2 kolom) 

[tex]A= \left[\begin{array}{ccc}a&b\\c&d\end{array}\right] \\ A^{-1}= \frac{1}{detA}\times adjoin A \\ A^{-1}= \frac{1}{ad-bc} \left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right] [/tex]

[tex]A= \left[\begin{array}{ccc}3&1\\2&4\end{array}\right] \\ A^{-1}= \frac{1}{detA}\times adjoin A \\ A^{-1}= \frac{1}{((3\times 4)-(1\times 2))} \left[\begin{array}{ccc}4&-1\\-2&3\end{array}\right] \\ A^{-1}= \frac{1}{10}\left[\begin{array}{ccc}4&-1\\-2&3\end{array}\right] \\ A^{-1}=\left[\begin{array}{ccc} \frac{4}{10} &- \frac{1}{10} \\- \frac{2}{10} & \frac{3}{10} \end{array}\right] \\ A^{-1}=\left[\begin{array}{ccc} \frac{2}{5} &- \frac{1}{10} \\- \frac{1}{5} & \frac{3}{10} \end{array}\right] [/tex]

Semangat belajar!
Semoga membantu :)