For the system Ẋ = 2 0X + 1u ; y = [4 0]X ,041with

For the system Ẋ = 2 0 X + 1 u ; y = [4 0]X ,
0 4 1

with u as unit impulse and with zero initial state, the output, y, becomes

Ẋ =		2			0		X +		1		u ; Y = [4 0] X
		0			4				1

[sI - A] =		s - 2			0
		0			s - 4

Y(s) = φ (s) C(s) · X(s)

with input as δ(t), L [δ(t)] = 1

Y(s) =	4	.[1] =	4
	s - 2		s - 2

Y(t) = 4 e ^2t