# Math Help - Invertible Matrices

1. ## Invertible Matrices

Hi,

I was given this problem in my differential equations course and I'm not too sure how to solve for it:

Let A=A(t) be an n x n matrix, let y be a solution of the system y=Ay on (a,b) and let P=P(t) be an n x n matrix, invertible and differentiable on (a,b).

Find a matrix B such that Py is a solution to the system x=Bx on (a,b).

Thanks a lot for your help.

2. I'm assuming you meant $y'=Ay$ and $x'=Bx,$ right?

What ideas have you had so far?