A=[-6e^(3t)sin(3t) 6e^(2t)cos(3t) -5e^(3t)cos(3t) - 5e^(2t)sin(3t)]
det A=-6e^(3t)sin3t*(-5e^(2t)sin3t-(-5^(3t)*cos3t*6e^(2t)*cos3t)= =30e^(5t)*(sin^23t+cos^23t)=30e^(5t)·1=30e^(5t)