Homepage › Solution manuals › Gilbert Strang › Linear Algebra and Learning from Data › Exercise 3.1.8
(A + ΔA)2 − A2 = (A + ΔA)(A + ΔA) − A2 = AΔA + ΔAA + Δ2A, divide by Δt and send Δ to 0, we have dA2(t) dt = AdA(t) dt + dA(t) dt A