system of equations question

A is a 2X2 matrices which has continues complents on (0,1)
suppose the vectors $(\frac{t+1}{-1})$ and $(\frac{1}{t-1})$
are they solutions of x'=Ax system

solve dx/dt=Ax + $(\frac{t^2}{t^3})$
?
$(\frac{a b}{c d})$ is just a way to describe a 2X2 matrix
i know that
$x'=(\frac{a b}{c d})x$
so
$\frac{1}{0}=(\frac{a b}{c d})\frac{t+1}{-1}<br />$
the same thing goes for the other solution but i dont know what to do next\?