Diberikan Matriks M =![\left[\begin{array}{ccc}4&5\\4&6\\\end{array}\right]](https://tex.z-dn.net/?f=+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%265%5C%5C4%266%5C%5C%5Cend%7Barray%7D%5Cright%5D "\left[\begin{array}{ccc}4&5\\4&6\\\end{array}\right]")
dan invers matriksnya M-1 = ![\left[\begin{array}{ccc}3/2&5/4\\-1&a\\\end{array}\right]](https://tex.z-dn.net/?f=+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%2F2%265%2F4%5C%5C-1%26a%5C%5C%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}3/2&5/4\\-1&a\\\end{array}\right]")
Tentukan nilai a ?
Tentukan nilai a ?
DB45
![det M = 4(6) - 4(5) = 4 \\ M^-1 = \frac{1}{4} \left[\begin{array}{ccc}6&-5\\-4&4\end{array}\right] = \left[\begin{array}{ccc}3/2 & 5/4 \\-1 & a\end{array}\right]\\ a = \frac{1}{4}(4) = 1 ](https://tex.z-dn.net/?f=det+M+%3D+4%286%29+-+4%285%29+%3D+4+%5C%5C%0AM%5E-1+%3D++%5Cfrac%7B1%7D%7B4%7D+++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6%26-5%5C%5C-4%264%5Cend%7Barray%7D%5Cright%5D++%3D+++%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%2F2+%26+5%2F4+%5C%5C-1+%26+a%5Cend%7Barray%7D%5Cright%5D%5C%5C%0Aa+%3D++%5Cfrac%7B1%7D%7B4%7D%284%29+%3D+1+%0A+ "det M = 4(6) - 4(5) = 4 \\ M^-1 = \frac{1}{4} \left[\begin{array}{ccc}6&-5\\-4&4\end{array}\right] = \left[\begin{array}{ccc}3/2 & 5/4 \\-1 & a\end{array}\right]\\ a = \frac{1}{4}(4) = 1 ")
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