Jawab:
matriks
perkalian
identitas
[tex]\sf I =\left[\begin{array}{ccc}1&0\\0&1\end{array}\right][/tex]
buktikan A. A¹ = I
[tex]\sf A =\left[\begin{array}{ccc}7&9\\4&5\end{array}\right][/tex]
[tex]\sf A^{-1} =\dfrac{1}{7(5)-4(9)}\left[\begin{array}{ccc}5&-9\\-4&7\end{array}\right][/tex]
[tex]\sf A^{-1} =\dfrac{1}{35-36}\left[\begin{array}{ccc}5&-9\\-4&7\end{array}\right][/tex]
[tex]\sf A^{-1} =\dfrac{1}{-1}\left[\begin{array}{ccc}5&-9\\-4&7\end{array}\right][/tex]
[tex]\sf A^{-1} =-\left[\begin{array}{ccc}5&-9\\-4&7\end{array}\right][/tex]
[tex]\sf A^{-1} =\left[\begin{array}{ccc}-5&9\\4&-7\end{array}\right][/tex]
[tex]\sf A.A^{-1} =\left[\begin{array}{ccc}7&9\\4&5\end{array}\right] ~.~\left[\begin{array}{ccc}-5&9\\4&-7\end{array}\right][/tex]
[tex]\sf A.A^{-1} =\left[\begin{array}{ccc}1&0\\0&1\end{array}\right] = I[/tex]
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