1. The problem statement, all variables and given/known data Hello there everybody! I'm reading a Linear Algebra textbook, specifically on LTV systems solutions. I'm trying to redo this example from the book: 2. Relevant equations But I couldn't understand the passage: 3. The attempt at a solution I mean. x1(0) = 1 and x2(0) = 0? I dont know from where that came from. And then x(t) = [1 0.5t^2]^T ? I can see from the x1(t) = x1(0) and x2(t) = (1/2)(t^2)x1(0) + x2(0) that x(t) = [1 0.5t^2]^T [x1(0) x2(0)] <= This I can relate! But the second one where x(t) = [ 1 2 ]^T I cant understand. I think it might have been arbitrarily choosen values? Either that or I'm missing some basic concept here. I've tried to get back some pages/chapters but could find the answer for that. Should I study the first chapters all again? (yeah probably I should! =/ ) Anyway, could someone help me to understand this? Thank you very much!