Multiple choice

An unforced linear time invariant (LTI) system is represented by

$\begin{bmatrix} \ . \ \ X_1 \ \ . \ X_2 \ \end{bmatrix}$= $\begin{bmatrix} \ -1 & 0 \ \ 0 & -2 \ \end{bmatrix}$$\begin{bmatrix} \ X_1 \ \ X_2 \ \end{bmatrix}$

If the initial condition are x1 (0) = 1 and x2 (0) = – 1, the solution of the state equation is

  1. x1 (t) = - 1, x2 (t) = 2

  2. x1 (t) = – e-t, x2 (t) = 2 e-t

  3. x1 (t) = - e-t, x2 (t) = – e-2t

  4. x1 (t) = - e-t, x2 (t) = – 2 e-t
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C Correct answer
Explanation

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