Diketahui ![\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right]](https://tex.z-dn.net/?f=+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%26c%5C%5Cd%26e%26f%5C%5Cg%26h%26i%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right]")
= -8 , tentukanlah:
a)![\left[\begin{array}{ccc}d&e&f\\g&h&i\\a&b&c\end{array}\right]](https://tex.z-dn.net/?f=+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dd%26e%26f%5C%5Cg%26h%26i%5C%5Ca%26b%26c%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}d&e&f\\g&h&i\\a&b&c\end{array}\right]")
b)![\left[\begin{array}{ccc}3a&3b&3c\\-d&-e&-f\\4g&4h&4i\end{array}\right]](https://tex.z-dn.net/?f=+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3a%263b%263c%5C%5C-d%26-e%26-f%5C%5C4g%264h%264i%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}3a&3b&3c\\-d&-e&-f\\4g&4h&4i\end{array}\right]")
a)
b)
izharulhaq78
![A=\displaystyle\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right]\\\displaystyle\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right]\displaystyle\left[\begin{array}{ccc}a&b\\d&e\\g&h\end{array}\right]\\|A|=aei+bfg+cdh-gec-hfa-idb\\-8=aei+bfg+cdh-gec-hfa-idb](https://tex.z-dn.net/?f=A%3D%5Cdisplaystyle%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%26c%5C%5Cd%26e%26f%5C%5Cg%26h%26i%5Cend%7Barray%7D%5Cright%5D%5C%5C%5Cdisplaystyle%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%26c%5C%5Cd%26e%26f%5C%5Cg%26h%26i%5Cend%7Barray%7D%5Cright%5D%5Cdisplaystyle%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%5C%5Cd%26e%5C%5Cg%26h%5Cend%7Barray%7D%5Cright%5D%5C%5C%7CA%7C%3Daei%2Bbfg%2Bcdh-gec-hfa-idb%5C%5C-8%3Daei%2Bbfg%2Bcdh-gec-hfa-idb "A=\displaystyle\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right]\\\displaystyle\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right]\displaystyle\left[\begin{array}{ccc}a&b\\d&e\\g&h\end{array}\right]\\|A|=aei+bfg+cdh-gec-hfa-idb\\-8=aei+bfg+cdh-gec-hfa-idb")
![B=\left[\begin{array}{ccc}d&e&f\\g&h&i\\a&b&c\end{array}\right]\\\left[\begin{array}{ccc}d&e&f\\g&h&i\\a&b&c\end{array}\right]\left[\begin{array}{ccc}d&e\\g&h\\a&b\end{array}\right]\\|B|=dhc+eia+fgb-ahf-bid-cge\\|B|=aei+bfg+cdh-gec-hfa-idb\\\boxed{\boxed{|B|=-8}}](https://tex.z-dn.net/?f=B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dd%26e%26f%5C%5Cg%26h%26i%5C%5Ca%26b%26c%5Cend%7Barray%7D%5Cright%5D%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dd%26e%26f%5C%5Cg%26h%26i%5C%5Ca%26b%26c%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dd%26e%5C%5Cg%26h%5C%5Ca%26b%5Cend%7Barray%7D%5Cright%5D%5C%5C%7CB%7C%3Ddhc%2Beia%2Bfgb-ahf-bid-cge%5C%5C%7CB%7C%3Daei%2Bbfg%2Bcdh-gec-hfa-idb%5C%5C%5Cboxed%7B%5Cboxed%7B%7CB%7C%3D-8%7D%7D "B=\left[\begin{array}{ccc}d&e&f\\g&h&i\\a&b&c\end{array}\right]\\\left[\begin{array}{ccc}d&e&f\\g&h&i\\a&b&c\end{array}\right]\left[\begin{array}{ccc}d&e\\g&h\\a&b\end{array}\right]\\|B|=dhc+eia+fgb-ahf-bid-cge\\|B|=aei+bfg+cdh-gec-hfa-idb\\\boxed{\boxed{|B|=-8}}")
![\displaystyle C=\displaystyle\left[\begin{array}{ccc}3a&3b&3c\\-d&-e&-f\\4g&4h&4i\end{array}\right]\\\displaystyle\left[\begin{array}{ccc}3a&3b&3c\\-d&-e&-f\\4g&4h&4i\end{array}\right]\displaystyle\left[\begin{array}{ccc}3a&3b\\-d&-e\\4g&4h\end{array}\right]\\|C|=-12aei-12bfg-12cdh+12gec+12hfa+12idh\\|C|=-12(aei+bfg+cdh-gec-hfa-idh)\\|C|=-12(-8)\\\boxed{\boxed{|C|=96}}](https://tex.z-dn.net/?f=%5Cdisplaystyle+C%3D%5Cdisplaystyle%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3a%263b%263c%5C%5C-d%26-e%26-f%5C%5C4g%264h%264i%5Cend%7Barray%7D%5Cright%5D%5C%5C%5Cdisplaystyle%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3a%263b%263c%5C%5C-d%26-e%26-f%5C%5C4g%264h%264i%5Cend%7Barray%7D%5Cright%5D%5Cdisplaystyle%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3a%263b%5C%5C-d%26-e%5C%5C4g%264h%5Cend%7Barray%7D%5Cright%5D%5C%5C%7CC%7C%3D-12aei-12bfg-12cdh%2B12gec%2B12hfa%2B12idh%5C%5C%7CC%7C%3D-12%28aei%2Bbfg%2Bcdh-gec-hfa-idh%29%5C%5C%7CC%7C%3D-12%28-8%29%5C%5C%5Cboxed%7B%5Cboxed%7B%7CC%7C%3D96%7D%7D "\displaystyle C=\displaystyle\left[\begin{array}{ccc}3a&3b&3c\\-d&-e&-f\\4g&4h&4i\end{array}\right]\\\displaystyle\left[\begin{array}{ccc}3a&3b&3c\\-d&-e&-f\\4g&4h&4i\end{array}\right]\displaystyle\left[\begin{array}{ccc}3a&3b\\-d&-e\\4g&4h\end{array}\right]\\|C|=-12aei-12bfg-12cdh+12gec+12hfa+12idh\\|C|=-12(aei+bfg+cdh-gec-hfa-idh)\\|C|=-12(-8)\\\boxed{\boxed{|C|=96}}")
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