Diketahui matriks A=(■(-1&2&[email protected]&-3&2)), B=(■(2&-2&[email protected]&4&1)) dan C=(■(4&3&[email protected]&1&3)), maka nilai dari 2A+B-3C adalah ….
Takamori37
Maka,
![2A+B-3C \\ =2\left[\begin{array}{ccc}-1&2&3\\4&-3&2\end{array}\right]+\left[\begin{array}{ccc}2&-2&1\\3&4&1\end{array}\right]-3\left[\begin{array}{ccc}4&3&2\\-1&1&3\end{array}\right] \\ =\left[\begin{array}{ccc}2(-1)+2-3(4)&2(2)+(-2)-3(3)&2(3)+1-3(2)\\2(4)+3-3(-1)&2(-3)+4-3(1)&2(2)+1-3(3)\end{array}\right] \\ =\left[\begin{array}{ccc}-2+2-12&4-2-9&6+1-6\\8+3+3&-6+4-3&4+1-9\end{array}\right] \\ =\left[\begin{array}{ccc}-12&-7&1\\14&-5&-4\end{array}\right]](https://tex.z-dn.net/?f=2A%2BB-3C+%5C%5C+%3D2%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%262%263%5C%5C4%26-3%262%5Cend%7Barray%7D%5Cright%5D%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-2%261%5C%5C3%264%261%5Cend%7Barray%7D%5Cright%5D-3%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%263%262%5C%5C-1%261%263%5Cend%7Barray%7D%5Cright%5D+%5C%5C+%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%28-1%29%2B2-3%284%29%262%282%29%2B%28-2%29-3%283%29%262%283%29%2B1-3%282%29%5C%5C2%284%29%2B3-3%28-1%29%262%28-3%29%2B4-3%281%29%262%282%29%2B1-3%283%29%5Cend%7Barray%7D%5Cright%5D+%5C%5C+%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%2B2-12%264-2-9%266%2B1-6%5C%5C8%2B3%2B3%26-6%2B4-3%264%2B1-9%5Cend%7Barray%7D%5Cright%5D+%5C%5C+%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-12%26-7%261%5C%5C14%26-5%26-4%5Cend%7Barray%7D%5Cright%5D "2A+B-3C \\ =2\left[\begin{array}{ccc}-1&2&3\\4&-3&2\end{array}\right]+\left[\begin{array}{ccc}2&-2&1\\3&4&1\end{array}\right]-3\left[\begin{array}{ccc}4&3&2\\-1&1&3\end{array}\right] \\ =\left[\begin{array}{ccc}2(-1)+2-3(4)&2(2)+(-2)-3(3)&2(3)+1-3(2)\\2(4)+3-3(-1)&2(-3)+4-3(1)&2(2)+1-3(3)\end{array}\right] \\ =\left[\begin{array}{ccc}-2+2-12&4-2-9&6+1-6\\8+3+3&-6+4-3&4+1-9\end{array}\right] \\ =\left[\begin{array}{ccc}-12&-7&1\\14&-5&-4\end{array}\right]")
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