Please explain to me each step

And make it easy to understand

And explain which rule did you use.

do the problem by hand

Consider 8(t) = A(t) X(t), where A(t) is a continuous periodic matrix with period T. Assume that for At) and B(t) = S. A(s)ds, [A(t), B(t)] = 0 for all t. Show that the Floquet matrix R can be evaluated from the formula 1 C= T A(s)ds Consider 8(t) = A(t) X(t), where A(t) is a continuous periodic matrix with period T. Assume that for At) and B(t) = S. A(s)ds, [A(t), B(t)] = 0 for all t. Show that the Floquet matrix R can be evaluated from the formula 1 C= T A(s)ds