A = 2 2 1
1 2 2
2 3 3
tentukan matrik B sehingga AB = I3x3
1 2 2
2 3 3
tentukan matrik B sehingga AB = I3x3
Takamori37
![A= \left[\begin{array}{ccc}2&2&1\\1&2&2\\2&3&3\end{array}\right] \\ AB=I_{3x3} \\ A.A^{-1}B=I_{3x3}.A^{-1} \\ B=A^{-1} \\ $Karena D=1, Maka: \\ A^{-1}=\left[\begin{array}{ccc}0&-1&-1\\3&4&2\\2&3&2\end{array}\right] \\](https://tex.z-dn.net/?f=A%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%262%261%5C%5C1%262%262%5C%5C2%263%263%5Cend%7Barray%7D%5Cright%5D++%5C%5C+AB%3DI_%7B3x3%7D+%5C%5C+A.A%5E%7B-1%7DB%3DI_%7B3x3%7D.A%5E%7B-1%7D+%5C%5C+B%3DA%5E%7B-1%7D+%5C%5C+%24Karena+D%3D1%2C+Maka%3A+%5C%5C+A%5E%7B-1%7D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26-1%26-1%5C%5C3%264%262%5C%5C2%263%262%5Cend%7Barray%7D%5Cright%5D+%5C%5C+ "A= \left[\begin{array}{ccc}2&2&1\\1&2&2\\2&3&3\end{array}\right] \\ AB=I_{3x3} \\ A.A^{-1}B=I_{3x3}.A^{-1} \\ B=A^{-1} \\ $Karena D=1, Maka: \\ A^{-1}=\left[\begin{array}{ccc}0&-1&-1\\3&4&2\\2&3&2\end{array}\right] \\")
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