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
Matematika
tantriayuni
Pertanyaan
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 =......
1 Jawaban
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1. Jawaban Takamori37
[tex]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][/tex]
[tex]\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[/tex]