Matematika

Pertanyaan

Jika M=KM. Tentukanlah K
Jika M=KM. Tentukanlah K

1 Jawaban

  • [tex]M = \left[\begin{array}{ccc}-2&5\\1&-3\end{array}\right] \\ \\ M^{-1} = \frac{1}{(-2)(-3) - 5(1)} \left[\begin{array}{ccc}-3&-5\\-1&-2\end{array}\right] = \frac{1}{6-5} \left[\begin{array}{ccc}-3&-5\\-1&-2\end{array}\right] = \left[\begin{array}{ccc}-3&-5\\-1&-2\end{array}\right][/tex]

    [tex] misal C = \left[\begin{array}{ccc}0&-1\\-2&3\end{array}\right] \\ \\ jika KM=C, maka \\ \\ K = CM^{-1} \\ \\ K = \left[\begin{array}{ccc}0&-1\\-2&3\end{array}\right]\left[\begin{array}{ccc}-3&-5\\-1&-2\end{array}\right] = \left[\begin{array}{ccc}1&2\\3&4\end{array}\right] \\ (E)[/tex]