• Matéria: Matemática
  • Autor: marlucekevia
  • Perguntado 7 anos atrás

sabendo que A= 1 0 -1 1 e B= 2 5 3 -1 determine X tal que AxX=B

Respostas

respondido por: victorpsp666
64

 \left[\begin{array}{ccc}1&0\\-1&1\end{array}\right] \cdot \left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = \left[\begin{array}{ccc}2&5\\3&-1\end{array}\right] \\ \\ \left \{ {{a = 2} \atop {b = 5}} \right. \\ \\ \left \{ {{-a + c = 3} \atop {-b + d =-1}} \right. \\ \\ -2 + c = 3 \to c = 5 \\-5 + d = -1 \to d = 4\\ \\  \left[\begin{array}{ccc}2&5\\5&4\end{array}\right]

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