A= \left[\begin{array}{ccc}2&0&1\\1&-1&1\\2&3&-1\end{array}\right] X = \left[\begin{array}{ccc}x&y&z\end{array}\right] , dan B = \left[\begin{array}{ccc}5&8&7\end{array}\right] . jika AX^{t} = B^{t} . maka nilai 2x+y+z =......
Takamori37
![A= \left[\begin{array}{ccc}2&0&1\\1&-1&1\\2&3&-1\end{array}\right] X = \left[\begin{array}{ccc}x&y&z\end{array}\right] ,$dan $B = \left[\begin{array}{ccc}5&8&7\end{array}\right] \\ \\ AX^t=B^t \\ X^t = \left[\begin{array}{ccc}x\\y\\z\end{array}\right], B^t=\left[\begin{array}{ccc}5\\8\\7\end{array}\right] \\ \\ \left[\begin{array}{ccc}2&0&1\\1&-1&1\\2&3&-1\end{array}\right]\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}5\\8\\7\end{array}\right]](https://tex.z-dn.net/?f=A%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%260%261%5C%5C1%26-1%261%5C%5C2%263%26-1%5Cend%7Barray%7D%5Cright%5D+X+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%26y%26z%5Cend%7Barray%7D%5Cright%5D+%2C%24dan+%24B+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%268%267%5Cend%7Barray%7D%5Cright%5D+%5C%5C+%5C%5C+AX%5Et%3DB%5Et+%5C%5C+X%5Et+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%2C+B%5Et%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%5C%5C8%5C%5C7%5Cend%7Barray%7D%5Cright%5D+%5C%5C+%5C%5C+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%260%261%5C%5C1%26-1%261%5C%5C2%263%26-1%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%5C%5C8%5C%5C7%5Cend%7Barray%7D%5Cright%5D "A= \left[\begin{array}{ccc}2&0&1\\1&-1&1\\2&3&-1\end{array}\right] X = \left[\begin{array}{ccc}x&y&z\end{array}\right] ,$dan $B = \left[\begin{array}{ccc}5&8&7\end{array}\right] \\ \\ AX^t=B^t \\ X^t = \left[\begin{array}{ccc}x\\y\\z\end{array}\right], B^t=\left[\begin{array}{ccc}5\\8\\7\end{array}\right] \\ \\ \left[\begin{array}{ccc}2&0&1\\1&-1&1\\2&3&-1\end{array}\right]\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}5\\8\\7\end{array}\right]")
![\left[\begin{array}{ccc}2x+z\\x-y+z\\2x+3y-z\end{array}\right]=\left[\begin{array}{ccc}5\\8\\7\end{array}\right] \\ \\ $Dengan SPLTV, didapat:$ \\ x=21,y=-24 ,z=-37 \\ \\ 2x+y+z=42-24-37=-19](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2x%2Bz%5C%5Cx-y%2Bz%5C%5C2x%2B3y-z%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%5C%5C8%5C%5C7%5Cend%7Barray%7D%5Cright%5D+%5C%5C+%5C%5C+%24Dengan+SPLTV%2C+didapat%3A%24+%5C%5C+x%3D21%2Cy%3D-24+%2Cz%3D-37+%5C%5C+%5C%5C+2x%2By%2Bz%3D42-24-37%3D-19 "\left[\begin{array}{ccc}2x+z\\x-y+z\\2x+3y-z\end{array}\right]=\left[\begin{array}{ccc}5\\8\\7\end{array}\right] \\ \\ $Dengan SPLTV, didapat:$ \\ x=21,y=-24 ,z=-37 \\ \\ 2x+y+z=42-24-37=-19")
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