Matematika

Pertanyaan

Invers matrik B Adalah. Tolong dijawab bentuk matrik. Terimakasoh
Invers matrik B Adalah. Tolong dijawab bentuk matrik. Terimakasoh

1 Jawaban

  • B = [tex] \left[\begin{array}{ccc}3&-10\\-1&4\end{array}\right] [/tex]
    [tex] B^{-1} [/tex] = [tex] \frac{1}{det} [/tex] [tex] \left[\begin{array}{ccc}4&10\\1&3\end{array}\right] [/tex]
    = [tex] \frac{1}{12 - 10} [/tex] [tex] \left[\begin{array}{ccc}4&10\\1&3\end{array}\right] [/tex]
    = [tex] \frac{1}{2} [/tex] [tex] \left[\begin{array}{ccc}4&10\\1&3\end{array}\right] [/tex]
    = [tex] \left[\begin{array}{ccc} \frac{4}{2}& \frac{10}{2} \\ \frac{1}{2}& \frac{3}{2} \end{array}\right] [/tex]
    =[tex] \left[\begin{array}{ccc}2&5\\ \frac{1}{2}& \frac{3}{2} \end{array}\right] [/tex] (E)