What is the wronskian

Question

Solve the following problem:

Solve the matrix differential equationX'=AX where X= [x₁,x₂ ]^T=[x₁] and A=[3   -1].
                                                                                            [x₂]           [-5  -1]
Find the eigenvalue(s)  of A by solving |λ-A|=0
    
Solve the linear equation (λ-A)u=0 to get the eigenvector(s)  u= [u₁,u₂]²
    
Find the fundamental matrix Φ(t)
    
What is the Wronskian for Φ?
    
Use the result from a to c to express the general solution