1
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+2
-0.6
A discrete system is represented by the difference equation $$$\begin{bmatrix}X_1\left(k+1\right)\\X_2\left(k+2\right)\end{bmatrix}=\begin{bmatrix}a&a-1\\a+1&a\end{bmatrix}\begin{bmatrix}X_1\left(k\right)\\X_2\left(k\right)\end{bmatrix}$$$ It has initial condition $$X_1\left(0\right)=1;\;X_2\left(0\right)=0$$. The pole location of the system for a = 1, are
A
$$1\pm j0$$
B
$$-1\pm j0$$
C
$$\pm1+j0$$
D
$$0\pm j1$$
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