# Question of the Day 10-07-2020

Question of the Day
GATE 2009   EE   Question No. 56

A system is described by the following state and output equations

$\frac{d{x}_{1}\left(t\right)}{dt}=-3{x}_{1}\left(t\right)+{x}_{2}\left(t\right)+2u\left(t\right)$

$\frac{d{x}_{2}\left(t\right)}{dt}=-2{x}_{2}\left(t\right)+u\left(t\right)$

$y\left(t\right)={x}_{1}\left(t\right)$

where u(t) is the input and y(t) is the output

The state transition matrix of the above system is

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