Solving a 2×2 homogeneous linear system with eigenvalues

[ultrabionic_ang]

Homework Statement

Solve the system:

dx/dt =
20 0
40 0

with initial value x(0) =
-4
32

so x(t) = [] ?

Homework Equations

I'm not really positive how to do this and how to go about finding x(t). I've looked at wolfram mathematics, and tried following their definitions, but am a bit confused as to how finding eigenvalues/vectors play into finding x(t) I haven't had linear algebra either.

 

[HallsofIvy]

You shouldn't be doing problems like this if you don't know any linear algebra! In fact, it's probably a bad idea to take differential equations before taking Linear Algebra.

 

[ultrabionic_ang]

Well... they don't require lin alg for diff eq at my school... I'm taking linear over the summer