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## Homework Statement

Find the general solution to the system of differential equations.

## Homework Equations

## The Attempt at a Solution

I uploaded the original equation and my work so see the attachment. I want to know how they got the vectors the got typically when I have done 2x2 systems I row reduce them and then use the top row that is left over and get the transverse and that is my vector however this did not work this time, what do I do?