X adalah matriks persegi berordo 2 yang memenuhi X \left[\begin{array}{ccc}1&2\\2&3&\/\end{array}\right] = \left[\begin{array}{ccc}4&8\\5&8\\\end{array}\right] . Matriks X adalah
Takamori37
![\displaystyle X \left[\begin{array}{cc}1&2\\2&3\\\end{array}\right] =\left[\begin{array}{ccc}4&8\\5&8\\\end{array}\right] \\ X=\left[\begin{array}{ccc}4&8\\5&8\\\end{array}\right]\left[\begin{array}{cc}1&2\\2&3\\\end{array}\right]^{-1} \\ X=\left[\begin{array}{ccc}4&8\\5&8\\\end{array}\right]\frac{1}{3-4}\left[\begin{array}{cc}3&-2\\-2&1\\\end{array}\right] \\ X=-1\left[\begin{array}{ccc}4&8\\5&8\\\end{array}\right]\left[\begin{array}{cc}3&-2\\-2&1\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle+X+%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%262%5C%5C2%263%5C%5C%5Cend%7Barray%7D%5Cright%5D+%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%268%5C%5C5%268%5C%5C%5Cend%7Barray%7D%5Cright%5D+%5C%5C+X%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%268%5C%5C5%268%5C%5C%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%262%5C%5C2%263%5C%5C%5Cend%7Barray%7D%5Cright%5D%5E%7B-1%7D+%5C%5C+X%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%268%5C%5C5%268%5C%5C%5Cend%7Barray%7D%5Cright%5D%5Cfrac%7B1%7D%7B3-4%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D3%26-2%5C%5C-2%261%5C%5C%5Cend%7Barray%7D%5Cright%5D+%5C%5C+X%3D-1%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%268%5C%5C5%268%5C%5C%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D3%26-2%5C%5C-2%261%5C%5C%5Cend%7Barray%7D%5Cright%5D "\displaystyle X \left[\begin{array}{cc}1&2\\2&3\\\end{array}\right] =\left[\begin{array}{ccc}4&8\\5&8\\\end{array}\right] \\ X=\left[\begin{array}{ccc}4&8\\5&8\\\end{array}\right]\left[\begin{array}{cc}1&2\\2&3\\\end{array}\right]^{-1} \\ X=\left[\begin{array}{ccc}4&8\\5&8\\\end{array}\right]\frac{1}{3-4}\left[\begin{array}{cc}3&-2\\-2&1\\\end{array}\right] \\ X=-1\left[\begin{array}{ccc}4&8\\5&8\\\end{array}\right]\left[\begin{array}{cc}3&-2\\-2&1\\\end{array}\right]")
![X=-1\left[\begin{array}{cc}12-16&-8+8\\15-16&-10+8\\\end{array}\right] \\ X=-1\left[\begin{array}{cc}-4&0\\-1&-2\\\end{array}\right] \\ X=\left[\begin{array}{cc}4&0\\1&2\\\end{array}\right]](https://tex.z-dn.net/?f=X%3D-1%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D12-16%26-8%2B8%5C%5C15-16%26-10%2B8%5C%5C%5Cend%7Barray%7D%5Cright%5D+%5C%5C+X%3D-1%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-4%260%5C%5C-1%26-2%5C%5C%5Cend%7Barray%7D%5Cright%5D+%5C%5C+X%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D4%260%5C%5C1%262%5C%5C%5Cend%7Barray%7D%5Cright%5D "X=-1\left[\begin{array}{cc}12-16&-8+8\\15-16&-10+8\\\end{array}\right] \\ X=-1\left[\begin{array}{cc}-4&0\\-1&-2\\\end{array}\right] \\ X=\left[\begin{array}{cc}4&0\\1&2\\\end{array}\right]")
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