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## Homework Statement

Find the general solution for the following systems of equations, a solution to the

initial value problem and plot the phase portrait.

--> this is in matrix form

x' =

1 2

0 3

all multiplied by x.

also, x(0) =

2

-1

## Homework Equations

Determinant, etc.

## The Attempt at a Solution

I first use the eigen values and get it to:

eigenvalue1 = 1; eigenvalue2= 3

however, when I start with 1, my matrix is pretty screwed up:

0 2

0 2

So when I'm trying to figure out the values for the eigenvector I am confused. I don't know what to put it as.

Any help would be appreciated. Thanks.