Diketahui matriks A=2 p 3 B=2 6 3 C=3 4 2 4 5 q 4 5 4 6 8 2 jika A+B = C maka nilai p dan q berturut.... Question from @keisuke

September 2018 2 21 Report

Diketahui matriks A=2 p 3 B=2 6 3 C=3 4 2
4 5 q 4 5 4 6 8 2

jika A+B = C maka nilai p dan q berturut turut adalah

hamzfans P=4-6=-2
q=2-4=-2

..................

0 votes Thanks 0

IcukSugiarto $\bold{\underline{Solution:}}\\\\diketahui:\\A+B=C\\\\sehingga:\\\\ \left[\begin{array}{ccc}2&p&3\\4&5&q\end{array}\right]+\left[\begin{array}{ccc}2&6&3\\4&5&4\end{array}\right] =\left[\begin{array}{ccc}3&4&2\\6&8&2\end{array}\right]$

$\boxed{\bold{Keys:}\ perhatikan\ matriks\ diatas}\\\\maka\ untuk\ nilai\ p\ gunakan\ bagian\ a_{12}\ (baris\ 1,kolom\ 2):\\p+6=4\\p~~~~~=4-6\\p~~~~~=-2\\\\maka\ untuk\ nilai\ q\ gunakan\ bagian\ a_{23}\ (baris\ 2,kolom\ 3):\\q+4=2\\q~~~~~=2-4\\q~~~~~=-2$

$\underline{\bold{\bigstar~maka\ nilai\ p\ dan\ q\ berturut\ turut\ adalah:}}\\\\\boxed{\bold{p=-2~~~~~~~dan~~~~~~~~q=-2}}$

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