system of equations question 4b

A is a 2X2 matrices which has continues complents on (0,1)

suppose the vectors $\displaystyle (\frac{t+1}{-1})$ and $\displaystyle (\frac{1}{t-1})$

are they solutions of x'=Ax system

solve dx/dt=Ax +$\displaystyle (\frac{t^2}{t^3})$

?

$\displaystyle (\frac{a b}{c d}) $is just a way to describe a 2X2 matrix

i know that

$\displaystyle x'=(\frac{a b}{c d})x$

so

$\displaystyle \frac{1}{0}=(\frac{a b}{c d})\frac{t+1}{-1}

$

the same thing goes for the other solution but i dont know what to do next\?