[EN/2006] Matriz e Sistema Linear

Considere a matriz $svg.image?A&space;=&space;(a_{ij})_{3&space;\times&space;3}$ tal que $svg.image?a_{ij}&space;=&space;(-&space;1)^{i&space;+&space;j}&space;\left&space;(&space;\frac{2i&space;+&space;j}{2}&space;\right&space;)$ . Seja $svg.image?D&space;=&space;(d_{ij})&space;=&space;2A&space;-&space;A^t&space;$ . Sabendo que $svg.image?d_{12}&space;=&space;-&space;x&space;-&space;b&space;-&space;2c$ , $svg.image?d_{23}&space;=&space;x&space;-&space;3b&space;+&space;c$ e $svg.image?d_{31}&space;=&space;x&space;+&space;4b&space;+&space;2c$ onde $svg.image?x,&space;b,&space;c&space;\in&space;\mathbb{R},&space;\,&space;b&space;\neq&space;x$ , então o valor de $svg.image?\frac{c}{b&space;-&space;x}$ vale

A) 1/4
B) 1/3
C) 1
D) 3/2
E) 5/2

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