Develop a fundamental matrix and the general solution

Dec 2019
1
0
Oslo
Hi,
Wondering about this task.
I know how to get the first eigenvector and x1, but how do I continue when only get a lambda value which in this task becomes 1?
What should you do to get the other intrinsic value and x2?

Task:

Consider the system

Skärmklipp1.PNG
1. Determine a fundamental amount of solution
2. Find the general solution


My answer:

system:
Skärmklipp2.PNG


This is so far I have come:

Skärmklipp3.PNG