I have the following two equations(adsbygoogle = window.adsbygoogle || []).push({});

#1

d(A(t))/dt=A(t)B

where A is some matrix that depends on parameter t, and B is another matrix, d is the differential

this can be simplified to by multiplying both sides by the left inverse of A(t),

A^-1(dA(t))=B*t

which allows me to solve A(t) = Ce^(Bt)

#2

d(A(t))/dt=BA(t) note that A and B do not necessarily commute

I'm asked to once again find A(t)

and I get

dA(t)A^-1(t)=Bdt

but how do I integrate this thing?

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# Non commuting operators

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