Question: A matrix function A and a vector function b are given. Write the system of equations corresponding to x ' = A(t) x + b

A matrix function A and a vector function b are given. Write the system of equations corresponding to x ' = A(t) x + b (t). -30 3 A( t) = -4 2 4 b(t) = 3e -2 2 -4 -4t a) O x' = - 3x + 3x, -e, x' =-4x, + 2x, +4x- 3e", x'=-2x, +2x, -4x-e" b) O x' = - 3 x - 4x, - 2x, +e, x' =2x,+ 2x,+3e", x'=3x, + 4x - 4x+e"" () O x', = - 3x, + 3x3 - e, x,= -4x1 - 2x2 +4x, + 3e", x;=-2x, - 2x, + 4x,te-4 d ) 0 x , = - 3x, + 3 x, + e', x. = - 4x, + 2x2 +4x,+ 3e", x;=-2x,+ 2x-4x,+e"4"] e) O x', =-3x, -4x2 - 2x3 - e', x2=2x2 + 2x3 - 3e", x3=3x, +4x2 - 4x3 - e" f) O None of the above

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