minta bantuannya, pake caranya ya yg no 9. tentukan nilai p-q
Matematika
winegh
Pertanyaan
minta bantuannya, pake caranya ya yg no 9. tentukan nilai p-q
2 Jawaban
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1. Jawaban shenare
dri soal perkalian Matrik A dan B di dapat
AB = | 10-2p -5-2(p+q)| => | 1 0 |
| 18-4p -9-4(p+q)| | 0 1|
* 10-2p =1 * -5-2(p+q) = 0
-2p = 1-10 -5-2p-2q = 0
-2p = -9 -5-2(4,5)-2q = 0
p = 4,5 -5 -9-2q = 0
-2q = 14
q = -7
jadi p-q = 4,5 - (-7)
= 11,5 atau 23/2 -
2. Jawaban xkuadratz
[tex]jika\ AB=I,\ maka\ A^{-1}=B \\ \\ \left[\begin{array}{ccc}5&-2\\9&-4\end{array}\right]^{-1}=\left[\begin{array}{ccc}2&-1\\p&p+q\end{array}\right] \\ \\ \frac{1}{-20+18}\left[\begin{array}{ccc}-4&2\\-9&5\end{array}\right] =\left[\begin{array}{ccc}2&-1\\p&p+q\end{array}\right] \\ \\ \left[\begin{array}{ccc}2&-1\\ \frac{9}{2} & \frac{-5}{2} \end{array}\right]=\left[\begin{array}{ccc}2&-1\\p&p+q\end{array}\right] \\ \\ p= \frac{9}{2} \\ \\ p+q= \frac{-5}{2} \\ \frac{9}{2} +q= \frac{-5}{2} \\ q=-7 [/tex]
p-q = 9/2-(-7) = 23/2