GATE EE 2014 Set 2 — Question 43

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MCQ+2 / -0.67MediumEigenvalues & EigenvectorsLinear AlgebraEngineering MathematicsDifference EquationsLaplace & Z TransformsSignals & SystemsState-Space ModelState-Space AnalysisControl Systems

Control Systems → Laplace & Z Transforms → Difference Equations

Last updated 5 September 2026

Question

\begin{bmatrix} X_1(k+1) \\ X_2(k+1) \end{bmatrix} = \begin{bmatrix} a & a-1 \\ a+1 & a \end{bmatrix} \begin{bmatrix} X_1(k) \\ X_2(k) \end{bmatrix}

\mathbf{X}(k+1) = \mathbf{A}\mathbf{X}(k)

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\mathbf{X}(k+1) = \mathbf{A}\mathbf{X}(k)

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GATE EE 2014 Set 2 — Question 43

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