A discrete system is represented by the difference equation \left[\begin{array}{c}X_1(k+1) \ X_2(k+1)]\end{array}=\left[\begin{array}{cc}a & a-1 \ a+1 & a]\end{array}\left[\begin{array}{c}X_1(k) \ X_2(k)]\end{array} It has initial conditions X 1 (0) = 1; X 2 (0) = 0. The pole locations of the system for a = 1, are

GATE Electrical Engineering (EE) 2014 Shift 2 Solved Paper

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A discrete system is represented by the difference equation

{[\table X_1(k+1) ; X_2(k+1)]}={[\table a , a-1 ; a+1 , a]}{[\table X_1(k) ; X_2(k)]}

It has initial conditions X₁(0) = 1; X₂(0) = 0. The pole locations of the system for a = 1, are

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