Mohon Bantuannya dan Penjelasannya :) 1. jika diket Matriks A=0 -1 B= 2 1 , Maka Determinan dari (A ͭ +B) ² ? 4 -2 4 5 2. Jika A= 5 2
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Pertanyaan
Mohon Bantuannya dan Penjelasannya :)
1. jika diket Matriks A=0 -1 B= 2 1 , Maka Determinan dari (A ͭ +B) ² ?
4 -2 4 5
2. Jika A= 5 2 B= 0 3 C=5 0 , Jika D= (2A+C ͭ ) - 3A ͭ +4B ?
6 4 4 6 -1 4
3. C= 2 3 3 6 D= 4 0 0 0 ,Hitung Determinan CD....
0 5 5 7 2 4 0 0
0 0 3 4 0 1 3 4
0 0 0 5 0 2 2 5
Terimakasih :)
1. jika diket Matriks A=0 -1 B= 2 1 , Maka Determinan dari (A ͭ +B) ² ?
4 -2 4 5
2. Jika A= 5 2 B= 0 3 C=5 0 , Jika D= (2A+C ͭ ) - 3A ͭ +4B ?
6 4 4 6 -1 4
3. C= 2 3 3 6 D= 4 0 0 0 ,Hitung Determinan CD....
0 5 5 7 2 4 0 0
0 0 3 4 0 1 3 4
0 0 0 5 0 2 2 5
Terimakasih :)
1 Jawaban
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1. Jawaban syahrutjm
1. [tex]A^{t} = \left[\begin{array}{ccc}0&4\\-1&2\end{array}\right], A^{t} + B = \left[\begin{array}{ccc}2&5\\3&3\end{array}\right], (A^{t} + B} ){2} = \left[\begin{array}{ccc}19&25\\15&24\end{array}\right][/tex]
Det[tex](A^{t}+B)^{2} [/tex] = [tex]19.24 -15.25 = 81[/tex]
2.[tex]A^{t} = \left[\begin{array}{ccc}5&6\\2&4\end{array}\right] , C^{t} = \left[\begin{array}{ccc}5&-1\\0&4\end{array}\right] \\ D= 2\left[\begin{array}{ccc}5&2\\6&4\end{array}\right] + \left[\begin{array}{ccc}5&-1\\0&4\end{array}\right] - 3 \left[\begin{array}{ccc}5&6\\2&4\end{array}\right] + 4 \left[\begin{array}{ccc}0&3\\4&6\end{array}\right] = \left[\begin{array}{ccc}0&-3\\22&24\end{array}\right][/tex]
3 Det (CD) = Det(C).Det(D) [karna C dan D bujursangkar]
Det (C) = 150 [ perkalian diagonal, karna segitiga bawah]
Det (D) = 122 [-,-]
Det(CD) = 150.122 = 18.300