Consider the system X'(t)=AX+B(t) where:
[0 0 -1]
[1 0 -3]
[0 1 -3]
Find X(t) by frist determining P such that P-1AP=J is in Jordan form and then solving the three simple equations directly.
The Attempt at a Solution
I know how to find J
but then I'm totally lost.
I need an example to follow.
I have no idea how to solve this.
Or if someone could please direct me to a page on the web that will help.