Differential equations matrix

A= [2 1; -3 -2] , f(t) = [e^(2t) ; 2e^(2t)] , and X(t)= [e^t e^-t; -e^t -3e^-t]

a fundamental system for the x'(t)=Ax(t) is X(t). use thhis parameters formula

X(t)∫X^(−1)(t)f(t)dt or undetermined coefficients to find a particular solution to the system x'(t) = Ax(t)+f(t)