# Question: a1 2 7 0 1 2 0 0 2 btranspose1...

###### Question details

A=(-1 2 -7; 0 1 2; 0 0 2)

B=Transpose(1 4 1)

C= (1 1 0)

Assume that u=0. Describe the set consisting of those initial states x0 E R^3 such that for all t>=0 the vector x(t),, the value at time t of the solution of

d/dtx = Ax

x(0) = x0

belongs to the subspace

transpose[alpha beta beta] where alpha, beta E R