Posted: January 10th, 2017

Find a general solution of the system x˙ = A x, where A = ( −1 0 −1 −3 )

Find a general solution of the system x˙ = A x, where A = ( −1 0 −1 −3 ) .

[2] (ii) Find the exponential matrix e At for the system x˙ = A x, where A =   1 0 0 1 3 0 0 1 1   . [8] (iii) Use the matrix exponential to solve the following non-homogeneous system x˙ = ( 1 −4 −2 1 ) x + ( − sin t e t ) .