The problem I'm doing asks me to solve the normal system x'=Ax, but A is an unknown 2x2 matrix. However, I'm given some initial values and:

OK, I know this says -4 is an eigenvalue with corresponding eigenvector (-1,4)

But I'm not sure what to make of this.

My current approach is to find so I need a second, maybe generalized? eigenvector and corresponding eigenvalue.

edit: Never mind, I figured I can just solve for A