Ini adalah perkalian sebuah matriks dengan inversnya. Tapi cara ngaliinnya itu dapet dr mana angka2 yang saya beri tanda tanya "?" Ya ?
izharulhaq78
![\displaystyle S\times S^{-1}\\\left[\begin{array}{ccc}3&5\\1&2\end{array}\right]\left[\begin{array}{ccc}2&-5\\-1&3\end{array}\right]\\\left[\begin{array}{ccc}3\times2+5\times(-1)&3\times(-5)+5\times3\\1\times2+2\times(-1)&1\times(-5)+2\times3\end{array}\right]\\\left[\begin{array}{ccc}6-5&-15+15\\2-2&-5+6\end{array}\right]\\\boxed{\boxed{\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]}}](https://tex.z-dn.net/?f=%5Cdisplaystyle+S%5Ctimes+S%5E%7B-1%7D%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%265%5C%5C1%262%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-5%5C%5C-1%263%5Cend%7Barray%7D%5Cright%5D%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%5Ctimes2%2B5%5Ctimes%28-1%29%263%5Ctimes%28-5%29%2B5%5Ctimes3%5C%5C1%5Ctimes2%2B2%5Ctimes%28-1%29%261%5Ctimes%28-5%29%2B2%5Ctimes3%5Cend%7Barray%7D%5Cright%5D%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6-5%26-15%2B15%5C%5C2-2%26-5%2B6%5Cend%7Barray%7D%5Cright%5D%5C%5C%5Cboxed%7B%5Cboxed%7B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D%7D%7D "\displaystyle S\times S^{-1}\\\left[\begin{array}{ccc}3&5\\1&2\end{array}\right]\left[\begin{array}{ccc}2&-5\\-1&3\end{array}\right]\\\left[\begin{array}{ccc}3\times2+5\times(-1)&3\times(-5)+5\times3\\1\times2+2\times(-1)&1\times(-5)+2\times3\end{array}\right]\\\left[\begin{array}{ccc}6-5&-15+15\\2-2&-5+6\end{array}\right]\\\boxed{\boxed{\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]}}")
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