Researchers, so i want your help for something easy for you.i want to realize the relatioship G'(t)=ZG+δΙ  in a Mathematica notebook for computing the Sign Function of a random nxn Matrix Z by taking the above steps:

1]Solve the differential equation G'(t)=ZG+δΙ where Z is the constant matrix,I the identity matrix, δ the dirac delta function and G(t) the Green matrix function which is the solution of differential equation .

2]After finding the Matrix G(t), we take sgnZ= -[G(-0)+G(+0)] where G(0-), G(0+) are the left and right limits.