A matrix function A and a vector function b are given. Write the system of equations corresponding to x ' = A(t) x + b (t). 7 -41 + + 2 O A(t) = 4 1-4 -31 b(t) = O -21 0 a) O x, =x, +4X2 - 2tx3, x,= -4tx, - (1-4) X2 X';= -(1+2) x, - 3tx2 +tx3 - 1 b) O x' =fx, +4x, -2txo, x' =-41x + (1-4) x,, x. =(1+ 2) x - 31x, +tx,+ 1 () O x' =fx, + 4tx, + (1+ 2) xx x', =4x, - (1-4) x, - 3txo, x.=-2tx, + 1-1x d) O x) =fx, + 4fx, + (1+ 2) xy x2=4x, + (1-4) X2 + 3tx x5=-2tx, - 1+tx3 e) O x' =fx - 4tx, + (1+ 2) xx x' =4x + (t-4) x, -3tx, x =-2tx + 1+tx f) O None of the above