Tentukanlah nilai x dan y yang memenuhi syarat berikut ini !
a) G =![\left[\begin{array}{ccc}y&1\\0&x\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dy%261%5C%5C0%26x%5Cend%7Barray%7D%5Cright%5D "\left[\begin{array}{ccc}y&1\\0&x\end{array}\right]")
dan G² = I
b) Y =![\left[\begin{array}{ccc}-3&1\\-2&5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%261%5C%5C-2%265%5Cend%7Barray%7D%5Cright%5D "\left[\begin{array}{ccc}-3&1\\-2&5\end{array}\right]")
dan F² = xF + y.I
I adalah matriks identitas berordo 2 x 2
a) G =
b) Y =
I adalah matriks identitas berordo 2 x 2
ekamiaww
![g^no numeric noise key 1103=I \\ \left[\beginno numeric noise key 1102no numeric noise key 1101y&1\\0&x\endno numeric noise key 1100\right] .\left[\beginno numeric noise key 1099no numeric noise key 1098y&1\\0&x\endno numeric noise key 1097\right]=\left[\beginNO NUMERIC NOISE KEY 1096no numeric noise key 10951&0\\0&1\endno numeric noise key 1094\right] 1093no numeric noise key 1092y^2&x+y\\0&x^2\endno numeric noise key 1091\right] =\left[\beginNO NUMERIC NOISE KEY 1090no numeric noise key 10891&0\\0&1\endno numeric noise key 1088\right] y^2 =1 < =>y=1 atau y=-1 x^2=1><br /><img src=](https://tex.z-dn.net/?f=+G%5E%7B2%7D%3DI+%5C%5C+++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dy%261%5C%5C0%26x%5Cend%7Barray%7D%5Cright%5D++.%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dy%261%5C%5C0%26x%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D+%5C%5C+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dy%5E2%26x%2By%5C%5C0%26x%5E2%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D++%5C%5C+y%5E2%3D1+%3C%3D%3Ey%3D1+atau+y%3D-1+%5C%5C+x%5E2%3D1+%3C%3D%3Ex%3D1+atau+x%3D-1+%5C%5C++%5C%5C "G^{2}=I \\ \left[\begin{array}{ccc}y&1\\0&x\end{array}\right] .\left[\begin{array}{ccc}y&1\\0&x\end{array}\right]=\left[\begin{array}{ccc}1&0\\0&1\end{array}\right] \\ \left[\begin{array}{ccc}y^2&x+y\\0&x^2\end{array}\right]=\left[\begin{array}{ccc}1&0\\0&1\end{array}\right] \\ y^2=1 <=>y=1 atau y=-1 \\ x^2=1 <=>x=1 atau x=-1 \\ \\")
3 votes
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yoesamudra
Ini jawabannya , maaf agak lama ya ...
1 votes
Thanks 5
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