Diberikan matriks ![A = \left[\begin{array}{ccc}7&4\\-9&-5\\\end{array}\right]](https://tex.z-dn.net/?f=A+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%264%5C%5C-9%26-5%5C%5C%5Cend%7Barray%7D%5Cright%5D+ "A = \left[\begin{array}{ccc}7&4\\-9&-5\\\end{array}\right]")
, maka nilai det 
patriaprastika
![A = \left[\begin{array}{ccc}7&4\\-9&-5\end{array}\right] \\\\\\ det~A = (7.-5) - (-9.4)\\\ det~A = -35 + 36\\\ det~A = 1 \\\\\\ A^2 = \left[\begin{array}{ccc}7&4\\-9&-5\end{array}\right] \left[\begin{array}{ccc}7&4\\-9&-5\end{array}\right] =\left[\begin{array}{ccc}13&8\\-18&-11\end{array}\right]\\\\\\ det~A^2 = (13.-11) - (-18.8) \\\ det~A^2 = -143 + 144 \\\ det~A^2 = 1 \\\\\\ A^3 = A^2 X A \\\\\\ A^3 = \left[\begin{array}{ccc}13&8\\-18&-11\end{array}\right] \left[\begin{array}{ccc}7&4\\-9&-5\end{array}\right] = \left[\begin{array}{ccc}19&12\\-27&-17\end{array}\right] \\\\\\ det~A^3 = (19.-17) - (-27.12) \\\ det~A^3 = -323 + 324 \\\ det~A^3 = 1](https://tex.z-dn.net/?f=A+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%264%5C%5C-9%26-5%5Cend%7Barray%7D%5Cright%5D+%5C%5C%5C%5C%5C%5C+det%7EA+%3D+%287.-5%29+-+%28-9.4%29%5C%5C%5C+det%7EA+%3D+-35+%2B+36%5C%5C%5C+det%7EA+%3D+1+%5C%5C%5C%5C%5C%5C+A%5E2+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%264%5C%5C-9%26-5%5Cend%7Barray%7D%5Cright%5D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%264%5C%5C-9%26-5%5Cend%7Barray%7D%5Cright%5D+%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D13%268%5C%5C-18%26-11%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%5C%5C+det%7EA%5E2+%3D+%2813.-11%29+-+%28-18.8%29+%5C%5C%5C+det%7EA%5E2+%3D+-143+%2B+144+%5C%5C%5C+det%7EA%5E2+%3D+1+%5C%5C%5C%5C%5C%5C+A%5E3+%3D+A%5E2+X+A+%5C%5C%5C%5C%5C%5C+A%5E3+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D13%268%5C%5C-18%26-11%5Cend%7Barray%7D%5Cright%5D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%264%5C%5C-9%26-5%5Cend%7Barray%7D%5Cright%5D+%3D+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D19%2612%5C%5C-27%26-17%5Cend%7Barray%7D%5Cright%5D+%5C%5C%5C%5C%5C%5C+det%7EA%5E3+%3D+%2819.-17%29+-+%28-27.12%29+%5C%5C%5C+det%7EA%5E3+%3D+-323+%2B+324+%5C%5C%5C+det%7EA%5E3+%3D+1 "A = \left[\begin{array}{ccc}7&4\\-9&-5\end{array}\right] \\\\\\ det~A = (7.-5) - (-9.4)\\\ det~A = -35 + 36\\\ det~A = 1 \\\\\\ A^2 = \left[\begin{array}{ccc}7&4\\-9&-5\end{array}\right] \left[\begin{array}{ccc}7&4\\-9&-5\end{array}\right] =\left[\begin{array}{ccc}13&8\\-18&-11\end{array}\right]\\\\\\ det~A^2 = (13.-11) - (-18.8) \\\ det~A^2 = -143 + 144 \\\ det~A^2 = 1 \\\\\\ A^3 = A^2 X A \\\\\\ A^3 = \left[\begin{array}{ccc}13&8\\-18&-11\end{array}\right] \left[\begin{array}{ccc}7&4\\-9&-5\end{array}\right] = \left[\begin{array}{ccc}19&12\\-27&-17\end{array}\right] \\\\\\ det~A^3 = (19.-17) - (-27.12) \\\ det~A^3 = -323 + 324 \\\ det~A^3 = 1")
2 votes
Thanks 2
adindaisyah26
wkwkwk thank youuuu!
patriaprastika
Iya sama-sama. Susah juga pake latex -.-
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