Matematika

Pertanyaan

cara menghitung invers matriks dari.
(1 3
3 6)
adalah..secepatnya..soalx besoak uts

2 Jawaban

  • Determinannya,
    1.6 - 3.3 = 6-9 = -3
    [tex]\displaystyle \frac{1}{3} \left[\begin{array}{cc}6&-3\\-3&1\end{array}\right]=\left[\begin{array}{cc}2&-1\\-1&{\frac{1}{3}}\end{array}\right][/tex]
    Invers
    [tex]A= \left[\begin{array}{cc}a&b\\c&d\end{array}\right] \\ \displaystyle A^{-1}=\frac{1}{\det(A)}\left[\begin{array}{cc}d&-b\\-c&a\end{array}\right][/tex]
  • 1/1.6-3.3 (  6   -3
                     -3    1)
    1/-3 (  6     -3
             -3      1)
    = (  -2     1
           1      -3)

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